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Finding the Third Proportional to 185,335.10 and 404,654.13

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Solution

The third proportional to 185,335.10 and 404,654.13 is: 883,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,335.10 : 404,654.13 = 404,654.13 : x
  2. Step 2: Convert to fraction form
    185,335.10/404,654.13 = 404,654.13/x
  3. Step 3: Cross multiply
    185,335.10x = 404,654.13 × 404,654.13
  4. Step 4: Simplify right side
    185,335.10x = 163,744,967,202.24
  5. Step 5: Solve for x
    x = 163,744,967,202.24/185,335.10
  6. Step 6: Final answer
    x = 883,507.58

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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.