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Finding the Third Proportional to 147,524 and 223,047

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Solution

The third proportional to 147,524 and 223,047 is: 337,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,524 : 223,047 = 223,047 : x
  2. Step 2: Convert to fraction form
    147,524/223,047 = 223,047/x
  3. Step 3: Cross multiply
    147,524x = 223,047 × 223,047
  4. Step 4: Simplify right side
    147,524x = 49,749,964,209
  5. Step 5: Solve for x
    x = 49,749,964,209/147,524
  6. Step 6: Final answer
    x = 337,233.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.