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Finding the Third Proportional to 111,421.13 and 240,167.81

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Solution

The third proportional to 111,421.13 and 240,167.81 is: 517,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,421.13 : 240,167.81 = 240,167.81 : x
  2. Step 2: Convert to fraction form
    111,421.13/240,167.81 = 240,167.81/x
  3. Step 3: Cross multiply
    111,421.13x = 240,167.81 × 240,167.81
  4. Step 4: Simplify right side
    111,421.13x = 57,680,578,161.04
  5. Step 5: Solve for x
    x = 57,680,578,161.04/111,421.13
  6. Step 6: Final answer
    x = 517,680.81

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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.