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Finding the Third Proportional to 207,342 and 452,214

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Solution

The third proportional to 207,342 and 452,214 is: 986,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,342 : 452,214 = 452,214 : x
  2. Step 2: Convert to fraction form
    207,342/452,214 = 452,214/x
  3. Step 3: Cross multiply
    207,342x = 452,214 × 452,214
  4. Step 4: Simplify right side
    207,342x = 204,497,501,796
  5. Step 5: Solve for x
    x = 204,497,501,796/207,342
  6. Step 6: Final answer
    x = 986,281.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.