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Finding the Third Proportional to 101,287.13 and 234,491.63

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Solution

The third proportional to 101,287.13 and 234,491.63 is: 542,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,287.13 : 234,491.63 = 234,491.63 : x
  2. Step 2: Convert to fraction form
    101,287.13/234,491.63 = 234,491.63/x
  3. Step 3: Cross multiply
    101,287.13x = 234,491.63 × 234,491.63
  4. Step 4: Simplify right side
    101,287.13x = 54,986,322,195.14
  5. Step 5: Solve for x
    x = 54,986,322,195.14/101,287.13
  6. Step 6: Final answer
    x = 542,875.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.