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Finding the Third Proportional to 212,283 and 288,452

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Solution

The third proportional to 212,283 and 288,452 is: 391,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,283 : 288,452 = 288,452 : x
  2. Step 2: Convert to fraction form
    212,283/288,452 = 288,452/x
  3. Step 3: Cross multiply
    212,283x = 288,452 × 288,452
  4. Step 4: Simplify right side
    212,283x = 83,204,556,304
  5. Step 5: Solve for x
    x = 83,204,556,304/212,283
  6. Step 6: Final answer
    x = 391,951.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.