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Finding the Third Proportional to 133,712 and 291,416

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Solution

The third proportional to 133,712 and 291,416 is: 635,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,712 : 291,416 = 291,416 : x
  2. Step 2: Convert to fraction form
    133,712/291,416 = 291,416/x
  3. Step 3: Cross multiply
    133,712x = 291,416 × 291,416
  4. Step 4: Simplify right side
    133,712x = 84,923,285,056
  5. Step 5: Solve for x
    x = 84,923,285,056/133,712
  6. Step 6: Final answer
    x = 635,120.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.