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Finding the Third Proportional to 216,600 and 316,452

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Solution

The third proportional to 216,600 and 316,452 is: 462,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,600 : 316,452 = 316,452 : x
  2. Step 2: Convert to fraction form
    216,600/316,452 = 316,452/x
  3. Step 3: Cross multiply
    216,600x = 316,452 × 316,452
  4. Step 4: Simplify right side
    216,600x = 100,141,868,304
  5. Step 5: Solve for x
    x = 100,141,868,304/216,600
  6. Step 6: Final answer
    x = 462,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.