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Finding the Third Proportional to 156,042 and 337,842

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Solution

The third proportional to 156,042 and 337,842 is: 731,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,042 : 337,842 = 337,842 : x
  2. Step 2: Convert to fraction form
    156,042/337,842 = 337,842/x
  3. Step 3: Cross multiply
    156,042x = 337,842 × 337,842
  4. Step 4: Simplify right side
    156,042x = 114,137,216,964
  5. Step 5: Solve for x
    x = 114,137,216,964/156,042
  6. Step 6: Final answer
    x = 731,451.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.