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Finding the Third Proportional to 169,782 and 229,760

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Solution

The third proportional to 169,782 and 229,760 is: 310,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782 : 229,760 = 229,760 : x
  2. Step 2: Convert to fraction form
    169,782/229,760 = 229,760/x
  3. Step 3: Cross multiply
    169,782x = 229,760 × 229,760
  4. Step 4: Simplify right side
    169,782x = 52,789,657,600
  5. Step 5: Solve for x
    x = 52,789,657,600/169,782
  6. Step 6: Final answer
    x = 310,926.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.