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Finding the Third Proportional to 273,145.50 and 557,124.75

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Solution

The third proportional to 273,145.50 and 557,124.75 is: 1,136,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,145.50 : 557,124.75 = 557,124.75 : x
  2. Step 2: Convert to fraction form
    273,145.50/557,124.75 = 557,124.75/x
  3. Step 3: Cross multiply
    273,145.50x = 557,124.75 × 557,124.75
  4. Step 4: Simplify right side
    273,145.50x = 310,387,987,062.56
  5. Step 5: Solve for x
    x = 310,387,987,062.56/273,145.50
  6. Step 6: Final answer
    x = 1,136,346.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.