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Finding the Third Proportional to 157,726.50 and 344,002

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Solution

The third proportional to 157,726.50 and 344,002 is: 750,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,726.50 : 344,002 = 344,002 : x
  2. Step 2: Convert to fraction form
    157,726.50/344,002 = 344,002/x
  3. Step 3: Cross multiply
    157,726.50x = 344,002 × 344,002
  4. Step 4: Simplify right side
    157,726.50x = 118,337,376,004
  5. Step 5: Solve for x
    x = 118,337,376,004/157,726.50
  6. Step 6: Final answer
    x = 750,269.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.