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Finding the Third Proportional to 157,445.06 and 337,352.06

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Solution

The third proportional to 157,445.06 and 337,352.06 is: 722,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,445.06 : 337,352.06 = 337,352.06 : x
  2. Step 2: Convert to fraction form
    157,445.06/337,352.06 = 337,352.06/x
  3. Step 3: Cross multiply
    157,445.06x = 337,352.06 × 337,352.06
  4. Step 4: Simplify right side
    157,445.06x = 113,806,414,073.00
  5. Step 5: Solve for x
    x = 113,806,414,073.00/157,445.06
  6. Step 6: Final answer
    x = 722,832.54

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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.