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Finding the Third Proportional to 156,926 and 232,341

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Solution

The third proportional to 156,926 and 232,341 is: 343,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,926 : 232,341 = 232,341 : x
  2. Step 2: Convert to fraction form
    156,926/232,341 = 232,341/x
  3. Step 3: Cross multiply
    156,926x = 232,341 × 232,341
  4. Step 4: Simplify right side
    156,926x = 53,982,340,281
  5. Step 5: Solve for x
    x = 53,982,340,281/156,926
  6. Step 6: Final answer
    x = 343,998.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.