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Finding the Third Proportional to 147,877 and 221,563

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Solution

The third proportional to 147,877 and 221,563 is: 331,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,877 : 221,563 = 221,563 : x
  2. Step 2: Convert to fraction form
    147,877/221,563 = 221,563/x
  3. Step 3: Cross multiply
    147,877x = 221,563 × 221,563
  4. Step 4: Simplify right side
    147,877x = 49,090,162,969
  5. Step 5: Solve for x
    x = 49,090,162,969/147,877
  6. Step 6: Final answer
    x = 331,966.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.