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Finding the Third Proportional to 155,984 and 231,682

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Solution

The third proportional to 155,984 and 231,682 is: 344,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,984 : 231,682 = 231,682 : x
  2. Step 2: Convert to fraction form
    155,984/231,682 = 231,682/x
  3. Step 3: Cross multiply
    155,984x = 231,682 × 231,682
  4. Step 4: Simplify right side
    155,984x = 53,676,549,124
  5. Step 5: Solve for x
    x = 53,676,549,124/155,984
  6. Step 6: Final answer
    x = 344,115.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.