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Finding the Third Proportional to 133,008 and 204,432

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Solution

The third proportional to 133,008 and 204,432 is: 314,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,008 : 204,432 = 204,432 : x
  2. Step 2: Convert to fraction form
    133,008/204,432 = 204,432/x
  3. Step 3: Cross multiply
    133,008x = 204,432 × 204,432
  4. Step 4: Simplify right side
    133,008x = 41,792,442,624
  5. Step 5: Solve for x
    x = 41,792,442,624/133,008
  6. Step 6: Final answer
    x = 314,209.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.