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Finding the Third Proportional to 157,233 and 221,769

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Solution

The third proportional to 157,233 and 221,769 is: 312,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233 : 221,769 = 221,769 : x
  2. Step 2: Convert to fraction form
    157,233/221,769 = 221,769/x
  3. Step 3: Cross multiply
    157,233x = 221,769 × 221,769
  4. Step 4: Simplify right side
    157,233x = 49,181,489,361
  5. Step 5: Solve for x
    x = 49,181,489,361/157,233
  6. Step 6: Final answer
    x = 312,793.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.