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Finding the Third Proportional to 181,924 and 382,698

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Solution

The third proportional to 181,924 and 382,698 is: 805,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,924 : 382,698 = 382,698 : x
  2. Step 2: Convert to fraction form
    181,924/382,698 = 382,698/x
  3. Step 3: Cross multiply
    181,924x = 382,698 × 382,698
  4. Step 4: Simplify right side
    181,924x = 146,457,759,204
  5. Step 5: Solve for x
    x = 146,457,759,204/181,924
  6. Step 6: Final answer
    x = 805,049.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.