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Finding the Third Proportional to 155,265 and 332,663

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Solution

The third proportional to 155,265 and 332,663 is: 712,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,265 : 332,663 = 332,663 : x
  2. Step 2: Convert to fraction form
    155,265/332,663 = 332,663/x
  3. Step 3: Cross multiply
    155,265x = 332,663 × 332,663
  4. Step 4: Simplify right side
    155,265x = 110,664,671,569
  5. Step 5: Solve for x
    x = 110,664,671,569/155,265
  6. Step 6: Final answer
    x = 712,747.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.