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Finding the Third Proportional to 147,909 and 221,607

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Solution

The third proportional to 147,909 and 221,607 is: 332,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,909 : 221,607 = 221,607 : x
  2. Step 2: Convert to fraction form
    147,909/221,607 = 221,607/x
  3. Step 3: Cross multiply
    147,909x = 221,607 × 221,607
  4. Step 4: Simplify right side
    147,909x = 49,109,662,449
  5. Step 5: Solve for x
    x = 49,109,662,449/147,909
  6. Step 6: Final answer
    x = 332,026.19

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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.