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Finding the Third Proportional to 185,280 and 404,016

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Solution

The third proportional to 185,280 and 404,016 is: 880,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 404,016 = 404,016 : x
  2. Step 2: Convert to fraction form
    185,280/404,016 = 404,016/x
  3. Step 3: Cross multiply
    185,280x = 404,016 × 404,016
  4. Step 4: Simplify right side
    185,280x = 163,228,928,256
  5. Step 5: Solve for x
    x = 163,228,928,256/185,280
  6. Step 6: Final answer
    x = 880,985.15

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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.