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Finding the Third Proportional to 130,187.25 and 197,467.88

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Solution

The third proportional to 130,187.25 and 197,467.88 is: 299,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,187.25 : 197,467.88 = 197,467.88 : x
  2. Step 2: Convert to fraction form
    130,187.25/197,467.88 = 197,467.88/x
  3. Step 3: Cross multiply
    130,187.25x = 197,467.88 × 197,467.88
  4. Step 4: Simplify right side
    130,187.25x = 38,993,561,657.02
  5. Step 5: Solve for x
    x = 38,993,561,657.02/130,187.25
  6. Step 6: Final answer
    x = 299,519.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.