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Finding the Third Proportional to 156,918 and 232,329

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Solution

The third proportional to 156,918 and 232,329 is: 343,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918 : 232,329 = 232,329 : x
  2. Step 2: Convert to fraction form
    156,918/232,329 = 232,329/x
  3. Step 3: Cross multiply
    156,918x = 232,329 × 232,329
  4. Step 4: Simplify right side
    156,918x = 53,976,764,241
  5. Step 5: Solve for x
    x = 53,976,764,241/156,918
  6. Step 6: Final answer
    x = 343,980.70

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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.