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Finding the Third Proportional to 185,034.38 and 384,613.31

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Solution

The third proportional to 185,034.38 and 384,613.31 is: 799,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,034.38 : 384,613.31 = 384,613.31 : x
  2. Step 2: Convert to fraction form
    185,034.38/384,613.31 = 384,613.31/x
  3. Step 3: Cross multiply
    185,034.38x = 384,613.31 × 384,613.31
  4. Step 4: Simplify right side
    185,034.38x = 147,927,400,152.22
  5. Step 5: Solve for x
    x = 147,927,400,152.22/185,034.38
  6. Step 6: Final answer
    x = 799,459.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.