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Finding the Third Proportional to 133,304 and 283,580

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Solution

The third proportional to 133,304 and 283,580 is: 603,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,304 : 283,580 = 283,580 : x
  2. Step 2: Convert to fraction form
    133,304/283,580 = 283,580/x
  3. Step 3: Cross multiply
    133,304x = 283,580 × 283,580
  4. Step 4: Simplify right side
    133,304x = 80,417,616,400
  5. Step 5: Solve for x
    x = 80,417,616,400/133,304
  6. Step 6: Final answer
    x = 603,264.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.