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Finding the Third Proportional to 133,384 and 291,552

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Solution

The third proportional to 133,384 and 291,552 is: 637,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384 : 291,552 = 291,552 : x
  2. Step 2: Convert to fraction form
    133,384/291,552 = 291,552/x
  3. Step 3: Cross multiply
    133,384x = 291,552 × 291,552
  4. Step 4: Simplify right side
    133,384x = 85,002,568,704
  5. Step 5: Solve for x
    x = 85,002,568,704/133,384
  6. Step 6: Final answer
    x = 637,277.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.