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Finding the Third Proportional to 162,204 and 258,294

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Solution

The third proportional to 162,204 and 258,294 is: 411,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,204 : 258,294 = 258,294 : x
  2. Step 2: Convert to fraction form
    162,204/258,294 = 258,294/x
  3. Step 3: Cross multiply
    162,204x = 258,294 × 258,294
  4. Step 4: Simplify right side
    162,204x = 66,715,790,436
  5. Step 5: Solve for x
    x = 66,715,790,436/162,204
  6. Step 6: Final answer
    x = 411,307.92

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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.