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Finding the Third Proportional to 162,200 and 258,288

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Solution

The third proportional to 162,200 and 258,288 is: 411,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,200 : 258,288 = 258,288 : x
  2. Step 2: Convert to fraction form
    162,200/258,288 = 258,288/x
  3. Step 3: Cross multiply
    162,200x = 258,288 × 258,288
  4. Step 4: Simplify right side
    162,200x = 66,712,690,944
  5. Step 5: Solve for x
    x = 66,712,690,944/162,200
  6. Step 6: Final answer
    x = 411,298.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.