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Finding the Third Proportional to 157,560.19 and 345,733.31

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Solution

The third proportional to 157,560.19 and 345,733.31 is: 758,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,560.19 : 345,733.31 = 345,733.31 : x
  2. Step 2: Convert to fraction form
    157,560.19/345,733.31 = 345,733.31/x
  3. Step 3: Cross multiply
    157,560.19x = 345,733.31 × 345,733.31
  4. Step 4: Simplify right side
    157,560.19x = 119,531,523,372.22
  5. Step 5: Solve for x
    x = 119,531,523,372.22/157,560.19
  6. Step 6: Final answer
    x = 758,640.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.