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Finding the Third Proportional to 186,019 and 403,749

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Solution

The third proportional to 186,019 and 403,749 is: 876,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,019 : 403,749 = 403,749 : x
  2. Step 2: Convert to fraction form
    186,019/403,749 = 403,749/x
  3. Step 3: Cross multiply
    186,019x = 403,749 × 403,749
  4. Step 4: Simplify right side
    186,019x = 163,013,255,001
  5. Step 5: Solve for x
    x = 163,013,255,001/186,019
  6. Step 6: Final answer
    x = 876,325.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.