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Finding the Third Proportional to 145,298.25 and 196,249.50

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Solution

The third proportional to 145,298.25 and 196,249.50 is: 265,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,298.25 : 196,249.50 = 196,249.50 : x
  2. Step 2: Convert to fraction form
    145,298.25/196,249.50 = 196,249.50/x
  3. Step 3: Cross multiply
    145,298.25x = 196,249.50 × 196,249.50
  4. Step 4: Simplify right side
    145,298.25x = 38,513,866,250.25
  5. Step 5: Solve for x
    x = 38,513,866,250.25/145,298.25
  6. Step 6: Final answer
    x = 265,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.