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Finding the Third Proportional to 89,808 and 185,448

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Solution

The third proportional to 89,808 and 185,448 is: 382,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,808 : 185,448 = 185,448 : x
  2. Step 2: Convert to fraction form
    89,808/185,448 = 185,448/x
  3. Step 3: Cross multiply
    89,808x = 185,448 × 185,448
  4. Step 4: Simplify right side
    89,808x = 34,390,960,704
  5. Step 5: Solve for x
    x = 34,390,960,704/89,808
  6. Step 6: Final answer
    x = 382,938.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.