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Finding the Third Proportional to 208,345.92 and 455,442.75

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Solution

The third proportional to 208,345.92 and 455,442.75 is: 995,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,345.92 : 455,442.75 = 455,442.75 : x
  2. Step 2: Convert to fraction form
    208,345.92/455,442.75 = 455,442.75/x
  3. Step 3: Cross multiply
    208,345.92x = 455,442.75 × 455,442.75
  4. Step 4: Simplify right side
    208,345.92x = 207,428,098,527.56
  5. Step 5: Solve for x
    x = 207,428,098,527.56/208,345.92
  6. Step 6: Final answer
    x = 995,594.71

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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.