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Finding the Third Proportional to 175,493.25 and 282,619.13

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Solution

The third proportional to 175,493.25 and 282,619.13 is: 455,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,493.25 : 282,619.13 = 282,619.13 : x
  2. Step 2: Convert to fraction form
    175,493.25/282,619.13 = 282,619.13/x
  3. Step 3: Cross multiply
    175,493.25x = 282,619.13 × 282,619.13
  4. Step 4: Simplify right side
    175,493.25x = 79,873,569,815.77
  5. Step 5: Solve for x
    x = 79,873,569,815.77/175,493.25
  6. Step 6: Final answer
    x = 455,137.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.