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Finding the Third Proportional to 156,658.22 and 342,658.27

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Solution

The third proportional to 156,658.22 and 342,658.27 is: 749,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,658.22 : 342,658.27 = 342,658.27 : x
  2. Step 2: Convert to fraction form
    156,658.22/342,658.27 = 342,658.27/x
  3. Step 3: Cross multiply
    156,658.22x = 342,658.27 × 342,658.27
  4. Step 4: Simplify right side
    156,658.22x = 117,414,687,001.13
  5. Step 5: Solve for x
    x = 117,414,687,001.13/156,658.22
  6. Step 6: Final answer
    x = 749,495.86

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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.