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Finding the Third Proportional to 110,694 and 237,513.75

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Solution

The third proportional to 110,694 and 237,513.75 is: 509,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,694 : 237,513.75 = 237,513.75 : x
  2. Step 2: Convert to fraction form
    110,694/237,513.75 = 237,513.75/x
  3. Step 3: Cross multiply
    110,694x = 237,513.75 × 237,513.75
  4. Step 4: Simplify right side
    110,694x = 56,412,781,439.06
  5. Step 5: Solve for x
    x = 56,412,781,439.06/110,694
  6. Step 6: Final answer
    x = 509,628.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.