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Finding the Third Proportional to 133,344 and 291,596

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Solution

The third proportional to 133,344 and 291,596 is: 637,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,344 : 291,596 = 291,596 : x
  2. Step 2: Convert to fraction form
    133,344/291,596 = 291,596/x
  3. Step 3: Cross multiply
    133,344x = 291,596 × 291,596
  4. Step 4: Simplify right side
    133,344x = 85,028,227,216
  5. Step 5: Solve for x
    x = 85,028,227,216/133,344
  6. Step 6: Final answer
    x = 637,660.69

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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.