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Finding the Third Proportional to 185,375.25 and 404,730

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Solution

The third proportional to 185,375.25 and 404,730 is: 883,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,375.25 : 404,730 = 404,730 : x
  2. Step 2: Convert to fraction form
    185,375.25/404,730 = 404,730/x
  3. Step 3: Cross multiply
    185,375.25x = 404,730 × 404,730
  4. Step 4: Simplify right side
    185,375.25x = 163,806,372,900
  5. Step 5: Solve for x
    x = 163,806,372,900/185,375.25
  6. Step 6: Final answer
    x = 883,647.48

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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.