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Finding the Third Proportional to 126,657.50 and 197,654.50

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Solution

The third proportional to 126,657.50 and 197,654.50 is: 308,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,657.50 : 197,654.50 = 197,654.50 : x
  2. Step 2: Convert to fraction form
    126,657.50/197,654.50 = 197,654.50/x
  3. Step 3: Cross multiply
    126,657.50x = 197,654.50 × 197,654.50
  4. Step 4: Simplify right side
    126,657.50x = 39,067,301,370.25
  5. Step 5: Solve for x
    x = 39,067,301,370.25/126,657.50
  6. Step 6: Final answer
    x = 308,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.