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Finding the Third Proportional to 182,817 and 291,934.13

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Solution

The third proportional to 182,817 and 291,934.13 is: 466,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,817 : 291,934.13 = 291,934.13 : x
  2. Step 2: Convert to fraction form
    182,817/291,934.13 = 291,934.13/x
  3. Step 3: Cross multiply
    182,817x = 291,934.13 × 291,934.13
  4. Step 4: Simplify right side
    182,817x = 85,225,533,339.52
  5. Step 5: Solve for x
    x = 85,225,533,339.52/182,817
  6. Step 6: Final answer
    x = 466,179.48

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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.