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Finding the Third Proportional to 273,180.75 and 413,583

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Solution

The third proportional to 273,180.75 and 413,583 is: 626,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,180.75 : 413,583 = 413,583 : x
  2. Step 2: Convert to fraction form
    273,180.75/413,583 = 413,583/x
  3. Step 3: Cross multiply
    273,180.75x = 413,583 × 413,583
  4. Step 4: Simplify right side
    273,180.75x = 171,050,897,889
  5. Step 5: Solve for x
    x = 171,050,897,889/273,180.75
  6. Step 6: Final answer
    x = 626,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.