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Finding the Third Proportional to 148,563 and 223,554

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Solution

The third proportional to 148,563 and 223,554 is: 336,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,563 : 223,554 = 223,554 : x
  2. Step 2: Convert to fraction form
    148,563/223,554 = 223,554/x
  3. Step 3: Cross multiply
    148,563x = 223,554 × 223,554
  4. Step 4: Simplify right side
    148,563x = 49,976,390,916
  5. Step 5: Solve for x
    x = 49,976,390,916/148,563
  6. Step 6: Final answer
    x = 336,398.64

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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.