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Finding the Third Proportional to 133,704 and 291,396

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Solution

The third proportional to 133,704 and 291,396 is: 635,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,704 : 291,396 = 291,396 : x
  2. Step 2: Convert to fraction form
    133,704/291,396 = 291,396/x
  3. Step 3: Cross multiply
    133,704x = 291,396 × 291,396
  4. Step 4: Simplify right side
    133,704x = 84,911,628,816
  5. Step 5: Solve for x
    x = 84,911,628,816/133,704
  6. Step 6: Final answer
    x = 635,071.72

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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.