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Finding the Third Proportional to 162,202 and 258,292

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Solution

The third proportional to 162,202 and 258,292 is: 411,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,202 : 258,292 = 258,292 : x
  2. Step 2: Convert to fraction form
    162,202/258,292 = 258,292/x
  3. Step 3: Cross multiply
    162,202x = 258,292 × 258,292
  4. Step 4: Simplify right side
    162,202x = 66,714,757,264
  5. Step 5: Solve for x
    x = 66,714,757,264/162,202
  6. Step 6: Final answer
    x = 411,306.63

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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.