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Finding the Third Proportional to 116,801.44 and 183,502.69

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Solution

The third proportional to 116,801.44 and 183,502.69 is: 288,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,801.44 : 183,502.69 = 183,502.69 : x
  2. Step 2: Convert to fraction form
    116,801.44/183,502.69 = 183,502.69/x
  3. Step 3: Cross multiply
    116,801.44x = 183,502.69 × 183,502.69
  4. Step 4: Simplify right side
    116,801.44x = 33,673,236,319.72
  5. Step 5: Solve for x
    x = 33,673,236,319.72/116,801.44
  6. Step 6: Final answer
    x = 288,294.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.