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Finding the Third Proportional to 185,918 and 401,353

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Solution

The third proportional to 185,918 and 401,353 is: 866,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,918 : 401,353 = 401,353 : x
  2. Step 2: Convert to fraction form
    185,918/401,353 = 401,353/x
  3. Step 3: Cross multiply
    185,918x = 401,353 × 401,353
  4. Step 4: Simplify right side
    185,918x = 161,084,230,609
  5. Step 5: Solve for x
    x = 161,084,230,609/185,918
  6. Step 6: Final answer
    x = 866,426.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.