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Finding the Third Proportional to 207,110.25 and 327,354.75

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Solution

The third proportional to 207,110.25 and 327,354.75 is: 517,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,110.25 : 327,354.75 = 327,354.75 : x
  2. Step 2: Convert to fraction form
    207,110.25/327,354.75 = 327,354.75/x
  3. Step 3: Cross multiply
    207,110.25x = 327,354.75 × 327,354.75
  4. Step 4: Simplify right side
    207,110.25x = 107,161,132,347.56
  5. Step 5: Solve for x
    x = 107,161,132,347.56/207,110.25
  6. Step 6: Final answer
    x = 517,411.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.