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Finding the Third Proportional to 128,253.38 and 197,422.31

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Solution

The third proportional to 128,253.38 and 197,422.31 is: 303,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,253.38 : 197,422.31 = 197,422.31 : x
  2. Step 2: Convert to fraction form
    128,253.38/197,422.31 = 197,422.31/x
  3. Step 3: Cross multiply
    128,253.38x = 197,422.31 × 197,422.31
  4. Step 4: Simplify right side
    128,253.38x = 38,975,569,472.85
  5. Step 5: Solve for x
    x = 38,975,569,472.85/128,253.38
  6. Step 6: Final answer
    x = 303,895.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.