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Finding the Third Proportional to 208,132.50 and 431,034

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Solution

The third proportional to 208,132.50 and 431,034 is: 892,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132.50 : 431,034 = 431,034 : x
  2. Step 2: Convert to fraction form
    208,132.50/431,034 = 431,034/x
  3. Step 3: Cross multiply
    208,132.50x = 431,034 × 431,034
  4. Step 4: Simplify right side
    208,132.50x = 185,790,309,156
  5. Step 5: Solve for x
    x = 185,790,309,156/208,132.50
  6. Step 6: Final answer
    x = 892,654.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.