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Finding the Third Proportional to 161,562 and 268,331

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Solution

The third proportional to 161,562 and 268,331 is: 445,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,562 : 268,331 = 268,331 : x
  2. Step 2: Convert to fraction form
    161,562/268,331 = 268,331/x
  3. Step 3: Cross multiply
    161,562x = 268,331 × 268,331
  4. Step 4: Simplify right side
    161,562x = 72,001,525,561
  5. Step 5: Solve for x
    x = 72,001,525,561/161,562
  6. Step 6: Final answer
    x = 445,658.79

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.