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Finding the Third Proportional to 116,397.84 and 255,151.69

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Solution

The third proportional to 116,397.84 and 255,151.69 is: 559,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,397.84 : 255,151.69 = 255,151.69 : x
  2. Step 2: Convert to fraction form
    116,397.84/255,151.69 = 255,151.69/x
  3. Step 3: Cross multiply
    116,397.84x = 255,151.69 × 255,151.69
  4. Step 4: Simplify right side
    116,397.84x = 65,102,383,634.10
  5. Step 5: Solve for x
    x = 65,102,383,634.10/116,397.84
  6. Step 6: Final answer
    x = 559,309.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.