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Finding the Third Proportional to 160,858 and 250,479

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Solution

The third proportional to 160,858 and 250,479 is: 390,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,858 : 250,479 = 250,479 : x
  2. Step 2: Convert to fraction form
    160,858/250,479 = 250,479/x
  3. Step 3: Cross multiply
    160,858x = 250,479 × 250,479
  4. Step 4: Simplify right side
    160,858x = 62,739,729,441
  5. Step 5: Solve for x
    x = 62,739,729,441/160,858
  6. Step 6: Final answer
    x = 390,031.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.