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Finding the Third Proportional to 116,434.13 and 240,301.13

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Solution

The third proportional to 116,434.13 and 240,301.13 is: 495,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,434.13 : 240,301.13 = 240,301.13 : x
  2. Step 2: Convert to fraction form
    116,434.13/240,301.13 = 240,301.13/x
  3. Step 3: Cross multiply
    116,434.13x = 240,301.13 × 240,301.13
  4. Step 4: Simplify right side
    116,434.13x = 57,744,630,676.27
  5. Step 5: Solve for x
    x = 57,744,630,676.27/116,434.13
  6. Step 6: Final answer
    x = 495,942.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.