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Finding the Third Proportional to 183,358.25 and 291,759

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Solution

The third proportional to 183,358.25 and 291,759 is: 464,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,358.25 : 291,759 = 291,759 : x
  2. Step 2: Convert to fraction form
    183,358.25/291,759 = 291,759/x
  3. Step 3: Cross multiply
    183,358.25x = 291,759 × 291,759
  4. Step 4: Simplify right side
    183,358.25x = 85,123,314,081
  5. Step 5: Solve for x
    x = 85,123,314,081/183,358.25
  6. Step 6: Final answer
    x = 464,245.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.