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Finding the Third Proportional to 185,752.13 and 407,103.75

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Solution

The third proportional to 185,752.13 and 407,103.75 is: 892,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,752.13 : 407,103.75 = 407,103.75 : x
  2. Step 2: Convert to fraction form
    185,752.13/407,103.75 = 407,103.75/x
  3. Step 3: Cross multiply
    185,752.13x = 407,103.75 × 407,103.75
  4. Step 4: Simplify right side
    185,752.13x = 165,733,463,264.06
  5. Step 5: Solve for x
    x = 165,733,463,264.06/185,752.13
  6. Step 6: Final answer
    x = 892,229.16

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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.