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Finding the Third Proportional to 156,699.75 and 338,337.19

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Solution

The third proportional to 156,699.75 and 338,337.19 is: 730,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,699.75 : 338,337.19 = 338,337.19 : x
  2. Step 2: Convert to fraction form
    156,699.75/338,337.19 = 338,337.19/x
  3. Step 3: Cross multiply
    156,699.75x = 338,337.19 × 338,337.19
  4. Step 4: Simplify right side
    156,699.75x = 114,472,052,445.41
  5. Step 5: Solve for x
    x = 114,472,052,445.41/156,699.75
  6. Step 6: Final answer
    x = 730,518.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.