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Finding the Third Proportional to 157,605.75 and 337,353.19

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Solution

The third proportional to 157,605.75 and 337,353.19 is: 722,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,605.75 : 337,353.19 = 337,353.19 : x
  2. Step 2: Convert to fraction form
    157,605.75/337,353.19 = 337,353.19/x
  3. Step 3: Cross multiply
    157,605.75x = 337,353.19 × 337,353.19
  4. Step 4: Simplify right side
    157,605.75x = 113,807,173,116.41
  5. Step 5: Solve for x
    x = 113,807,173,116.41/157,605.75
  6. Step 6: Final answer
    x = 722,100.39

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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.