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Finding the Third Proportional to 181,630 and 283,482

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Solution

The third proportional to 181,630 and 283,482 is: 442,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,630 : 283,482 = 283,482 : x
  2. Step 2: Convert to fraction form
    181,630/283,482 = 283,482/x
  3. Step 3: Cross multiply
    181,630x = 283,482 × 283,482
  4. Step 4: Simplify right side
    181,630x = 80,362,044,324
  5. Step 5: Solve for x
    x = 80,362,044,324/181,630
  6. Step 6: Final answer
    x = 442,449.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.