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Finding the Third Proportional to 185,929 and 382,862

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Solution

The third proportional to 185,929 and 382,862 is: 788,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,929 : 382,862 = 382,862 : x
  2. Step 2: Convert to fraction form
    185,929/382,862 = 382,862/x
  3. Step 3: Cross multiply
    185,929x = 382,862 × 382,862
  4. Step 4: Simplify right side
    185,929x = 146,583,311,044
  5. Step 5: Solve for x
    x = 146,583,311,044/185,929
  6. Step 6: Final answer
    x = 788,383.26

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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.