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Finding the Third Proportional to 182,826 and 291,948.75

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Solution

The third proportional to 182,826 and 291,948.75 is: 466,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,826 : 291,948.75 = 291,948.75 : x
  2. Step 2: Convert to fraction form
    182,826/291,948.75 = 291,948.75/x
  3. Step 3: Cross multiply
    182,826x = 291,948.75 × 291,948.75
  4. Step 4: Simplify right side
    182,826x = 85,234,072,626.56
  5. Step 5: Solve for x
    x = 85,234,072,626.56/182,826
  6. Step 6: Final answer
    x = 466,203.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.