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Finding the Third Proportional to 84,654 and 180,567

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Solution

The third proportional to 84,654 and 180,567 is: 385,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,654 : 180,567 = 180,567 : x
  2. Step 2: Convert to fraction form
    84,654/180,567 = 180,567/x
  3. Step 3: Cross multiply
    84,654x = 180,567 × 180,567
  4. Step 4: Simplify right side
    84,654x = 32,604,441,489
  5. Step 5: Solve for x
    x = 32,604,441,489/84,654
  6. Step 6: Final answer
    x = 385,149.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.