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Finding the Third Proportional to 185,016 and 404,271

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Solution

The third proportional to 185,016 and 404,271 is: 883,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,016 : 404,271 = 404,271 : x
  2. Step 2: Convert to fraction form
    185,016/404,271 = 404,271/x
  3. Step 3: Cross multiply
    185,016x = 404,271 × 404,271
  4. Step 4: Simplify right side
    185,016x = 163,435,041,441
  5. Step 5: Solve for x
    x = 163,435,041,441/185,016
  6. Step 6: Final answer
    x = 883,356.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.