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Finding the Third Proportional to 215,470.76 and 323,499.45

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Solution

The third proportional to 215,470.76 and 323,499.45 is: 485,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,470.76 : 323,499.45 = 323,499.45 : x
  2. Step 2: Convert to fraction form
    215,470.76/323,499.45 = 323,499.45/x
  3. Step 3: Cross multiply
    215,470.76x = 323,499.45 × 323,499.45
  4. Step 4: Simplify right side
    215,470.76x = 104,651,891,117.50
  5. Step 5: Solve for x
    x = 104,651,891,117.50/215,470.76
  6. Step 6: Final answer
    x = 485,689.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.