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Finding the Third Proportional to 130,209.75 and 196,947.75

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Solution

The third proportional to 130,209.75 and 196,947.75 is: 297,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,209.75 : 196,947.75 = 196,947.75 : x
  2. Step 2: Convert to fraction form
    130,209.75/196,947.75 = 196,947.75/x
  3. Step 3: Cross multiply
    130,209.75x = 196,947.75 × 196,947.75
  4. Step 4: Simplify right side
    130,209.75x = 38,788,416,230.06
  5. Step 5: Solve for x
    x = 38,788,416,230.06/130,209.75
  6. Step 6: Final answer
    x = 297,891.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.