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Finding the Third Proportional to 141,210 and 207,491

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Solution

The third proportional to 141,210 and 207,491 is: 304,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 207,491 = 207,491 : x
  2. Step 2: Convert to fraction form
    141,210/207,491 = 207,491/x
  3. Step 3: Cross multiply
    141,210x = 207,491 × 207,491
  4. Step 4: Simplify right side
    141,210x = 43,052,515,081
  5. Step 5: Solve for x
    x = 43,052,515,081/141,210
  6. Step 6: Final answer
    x = 304,882.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.