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Finding the Third Proportional to 185,013.19 and 404,626.88

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Solution

The third proportional to 185,013.19 and 404,626.88 is: 884,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,013.19 : 404,626.88 = 404,626.88 : x
  2. Step 2: Convert to fraction form
    185,013.19/404,626.88 = 404,626.88/x
  3. Step 3: Cross multiply
    185,013.19x = 404,626.88 × 404,626.88
  4. Step 4: Simplify right side
    185,013.19x = 163,722,907,972.27
  5. Step 5: Solve for x
    x = 163,722,907,972.27/185,013.19
  6. Step 6: Final answer
    x = 884,925.61

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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.