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Finding the Third Proportional to 182,422 and 291,416

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Solution

The third proportional to 182,422 and 291,416 is: 465,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,422 : 291,416 = 291,416 : x
  2. Step 2: Convert to fraction form
    182,422/291,416 = 291,416/x
  3. Step 3: Cross multiply
    182,422x = 291,416 × 291,416
  4. Step 4: Simplify right side
    182,422x = 84,923,285,056
  5. Step 5: Solve for x
    x = 84,923,285,056/182,422
  6. Step 6: Final answer
    x = 465,532.04

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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.