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Finding the Third Proportional to 207,145.50 and 453,814

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Solution

The third proportional to 207,145.50 and 453,814 is: 994,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,145.50 : 453,814 = 453,814 : x
  2. Step 2: Convert to fraction form
    207,145.50/453,814 = 453,814/x
  3. Step 3: Cross multiply
    207,145.50x = 453,814 × 453,814
  4. Step 4: Simplify right side
    207,145.50x = 205,947,146,596
  5. Step 5: Solve for x
    x = 205,947,146,596/207,145.50
  6. Step 6: Final answer
    x = 994,214.92

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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.