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Finding the Third Proportional to 183,357.75 and 291,758.25

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Solution

The third proportional to 183,357.75 and 291,758.25 is: 464,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,357.75 : 291,758.25 = 291,758.25 : x
  2. Step 2: Convert to fraction form
    183,357.75/291,758.25 = 291,758.25/x
  3. Step 3: Cross multiply
    183,357.75x = 291,758.25 × 291,758.25
  4. Step 4: Simplify right side
    183,357.75x = 85,122,876,443.06
  5. Step 5: Solve for x
    x = 85,122,876,443.06/183,357.75
  6. Step 6: Final answer
    x = 464,244.77

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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.