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Finding the Third Proportional to 156,070.13 and 233,677.13

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Solution

The third proportional to 156,070.13 and 233,677.13 is: 349,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,070.13 : 233,677.13 = 233,677.13 : x
  2. Step 2: Convert to fraction form
    156,070.13/233,677.13 = 233,677.13/x
  3. Step 3: Cross multiply
    156,070.13x = 233,677.13 × 233,677.13
  4. Step 4: Simplify right side
    156,070.13x = 54,604,998,748.27
  5. Step 5: Solve for x
    x = 54,604,998,748.27/156,070.13
  6. Step 6: Final answer
    x = 349,874.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.