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Finding the Third Proportional to 148,566 and 223,555

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Solution

The third proportional to 148,566 and 223,555 is: 336,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,566 : 223,555 = 223,555 : x
  2. Step 2: Convert to fraction form
    148,566/223,555 = 223,555/x
  3. Step 3: Cross multiply
    148,566x = 223,555 × 223,555
  4. Step 4: Simplify right side
    148,566x = 49,976,838,025
  5. Step 5: Solve for x
    x = 49,976,838,025/148,566
  6. Step 6: Final answer
    x = 336,394.85

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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.