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Finding the Third Proportional to 157,449 and 337,360.50

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Solution

The third proportional to 157,449 and 337,360.50 is: 722,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,449 : 337,360.50 = 337,360.50 : x
  2. Step 2: Convert to fraction form
    157,449/337,360.50 = 337,360.50/x
  3. Step 3: Cross multiply
    157,449x = 337,360.50 × 337,360.50
  4. Step 4: Simplify right side
    157,449x = 113,812,106,960.25
  5. Step 5: Solve for x
    x = 113,812,106,960.25/157,449
  6. Step 6: Final answer
    x = 722,850.62

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