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Finding the Third Proportional to 133,857.56 and 291,043.13

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Solution

The third proportional to 133,857.56 and 291,043.13 is: 632,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,857.56 : 291,043.13 = 291,043.13 : x
  2. Step 2: Convert to fraction form
    133,857.56/291,043.13 = 291,043.13/x
  3. Step 3: Cross multiply
    133,857.56x = 291,043.13 × 291,043.13
  4. Step 4: Simplify right side
    133,857.56x = 84,706,100,609.77
  5. Step 5: Solve for x
    x = 84,706,100,609.77/133,857.56
  6. Step 6: Final answer
    x = 632,807.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.