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Finding the Third Proportional to 156,666 and 238,677

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Solution

The third proportional to 156,666 and 238,677 is: 363,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,666 : 238,677 = 238,677 : x
  2. Step 2: Convert to fraction form
    156,666/238,677 = 238,677/x
  3. Step 3: Cross multiply
    156,666x = 238,677 × 238,677
  4. Step 4: Simplify right side
    156,666x = 56,966,710,329
  5. Step 5: Solve for x
    x = 56,966,710,329/156,666
  6. Step 6: Final answer
    x = 363,618.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.