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Finding the Third Proportional to 111,309.19 and 239,932.13

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Solution

The third proportional to 111,309.19 and 239,932.13 is: 517,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,309.19 : 239,932.13 = 239,932.13 : x
  2. Step 2: Convert to fraction form
    111,309.19/239,932.13 = 239,932.13/x
  3. Step 3: Cross multiply
    111,309.19x = 239,932.13 × 239,932.13
  4. Step 4: Simplify right side
    111,309.19x = 57,567,424,607.02
  5. Step 5: Solve for x
    x = 57,567,424,607.02/111,309.19
  6. Step 6: Final answer
    x = 517,184.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.