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Finding the Third Proportional to 199,181.25 and 466,606.13

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Solution

The third proportional to 199,181.25 and 466,606.13 is: 1,093,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,181.25 : 466,606.13 = 466,606.13 : x
  2. Step 2: Convert to fraction form
    199,181.25/466,606.13 = 466,606.13/x
  3. Step 3: Cross multiply
    199,181.25x = 466,606.13 × 466,606.13
  4. Step 4: Simplify right side
    199,181.25x = 217,721,275,887.52
  5. Step 5: Solve for x
    x = 217,721,275,887.52/199,181.25
  6. Step 6: Final answer
    x = 1,093,081.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.