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Finding the Third Proportional to 94,624 and 206,048

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Solution

The third proportional to 94,624 and 206,048 is: 448,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,624 : 206,048 = 206,048 : x
  2. Step 2: Convert to fraction form
    94,624/206,048 = 206,048/x
  3. Step 3: Cross multiply
    94,624x = 206,048 × 206,048
  4. Step 4: Simplify right side
    94,624x = 42,455,778,304
  5. Step 5: Solve for x
    x = 42,455,778,304/94,624
  6. Step 6: Final answer
    x = 448,678.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.