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Finding the Third Proportional to 169,930 and 254,959

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Solution

The third proportional to 169,930 and 254,959 is: 382,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,930 : 254,959 = 254,959 : x
  2. Step 2: Convert to fraction form
    169,930/254,959 = 254,959/x
  3. Step 3: Cross multiply
    169,930x = 254,959 × 254,959
  4. Step 4: Simplify right side
    169,930x = 65,004,091,681
  5. Step 5: Solve for x
    x = 65,004,091,681/169,930
  6. Step 6: Final answer
    x = 382,534.52

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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.