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Finding the Third Proportional to 185,351 and 404,683

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Solution

The third proportional to 185,351 and 404,683 is: 883,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,351 : 404,683 = 404,683 : x
  2. Step 2: Convert to fraction form
    185,351/404,683 = 404,683/x
  3. Step 3: Cross multiply
    185,351x = 404,683 × 404,683
  4. Step 4: Simplify right side
    185,351x = 163,768,330,489
  5. Step 5: Solve for x
    x = 163,768,330,489/185,351
  6. Step 6: Final answer
    x = 883,557.85

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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.