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Finding the Third Proportional to 147,602 and 221,555

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Solution

The third proportional to 147,602 and 221,555 is: 332,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,602 : 221,555 = 221,555 : x
  2. Step 2: Convert to fraction form
    147,602/221,555 = 221,555/x
  3. Step 3: Cross multiply
    147,602x = 221,555 × 221,555
  4. Step 4: Simplify right side
    147,602x = 49,086,618,025
  5. Step 5: Solve for x
    x = 49,086,618,025/147,602
  6. Step 6: Final answer
    x = 332,560.66

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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.