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Finding the Third Proportional to 160,307 and 250,166

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Solution

The third proportional to 160,307 and 250,166 is: 390,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,307 : 250,166 = 250,166 : x
  2. Step 2: Convert to fraction form
    160,307/250,166 = 250,166/x
  3. Step 3: Cross multiply
    160,307x = 250,166 × 250,166
  4. Step 4: Simplify right side
    160,307x = 62,583,027,556
  5. Step 5: Solve for x
    x = 62,583,027,556/160,307
  6. Step 6: Final answer
    x = 390,394.85

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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.