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Finding the Third Proportional to 163,614 and 252,891

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Solution

The third proportional to 163,614 and 252,891 is: 390,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,614 : 252,891 = 252,891 : x
  2. Step 2: Convert to fraction form
    163,614/252,891 = 252,891/x
  3. Step 3: Cross multiply
    163,614x = 252,891 × 252,891
  4. Step 4: Simplify right side
    163,614x = 63,953,857,881
  5. Step 5: Solve for x
    x = 63,953,857,881/163,614
  6. Step 6: Final answer
    x = 390,882.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.