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Finding the Third Proportional to 80,117 and 185,465

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Solution

The third proportional to 80,117 and 185,465 is: 429,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,117 : 185,465 = 185,465 : x
  2. Step 2: Convert to fraction form
    80,117/185,465 = 185,465/x
  3. Step 3: Cross multiply
    80,117x = 185,465 × 185,465
  4. Step 4: Simplify right side
    80,117x = 34,397,266,225
  5. Step 5: Solve for x
    x = 34,397,266,225/80,117
  6. Step 6: Final answer
    x = 429,337.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.