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Finding the Third Proportional to 116,694 and 254,508.75

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Solution

The third proportional to 116,694 and 254,508.75 is: 555,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,694 : 254,508.75 = 254,508.75 : x
  2. Step 2: Convert to fraction form
    116,694/254,508.75 = 254,508.75/x
  3. Step 3: Cross multiply
    116,694x = 254,508.75 × 254,508.75
  4. Step 4: Simplify right side
    116,694x = 64,774,703,826.56
  5. Step 5: Solve for x
    x = 64,774,703,826.56/116,694
  6. Step 6: Final answer
    x = 555,081.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.