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Finding the Third Proportional to 133,735.50 and 291,459.75

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Solution

The third proportional to 133,735.50 and 291,459.75 is: 635,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,735.50 : 291,459.75 = 291,459.75 : x
  2. Step 2: Convert to fraction form
    133,735.50/291,459.75 = 291,459.75/x
  3. Step 3: Cross multiply
    133,735.50x = 291,459.75 × 291,459.75
  4. Step 4: Simplify right side
    133,735.50x = 84,948,785,870.06
  5. Step 5: Solve for x
    x = 84,948,785,870.06/133,735.50
  6. Step 6: Final answer
    x = 635,199.97

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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.