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Finding the Third Proportional to 133,616 and 284,560

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Solution

The third proportional to 133,616 and 284,560 is: 606,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616 : 284,560 = 284,560 : x
  2. Step 2: Convert to fraction form
    133,616/284,560 = 284,560/x
  3. Step 3: Cross multiply
    133,616x = 284,560 × 284,560
  4. Step 4: Simplify right side
    133,616x = 80,974,393,600
  5. Step 5: Solve for x
    x = 80,974,393,600/133,616
  6. Step 6: Final answer
    x = 606,023.18

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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.