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Finding the Third Proportional to 197,079.28 and 432,309.56

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Solution

The third proportional to 197,079.28 and 432,309.56 is: 948,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,079.28 : 432,309.56 = 432,309.56 : x
  2. Step 2: Convert to fraction form
    197,079.28/432,309.56 = 432,309.56/x
  3. Step 3: Cross multiply
    197,079.28x = 432,309.56 × 432,309.56
  4. Step 4: Simplify right side
    197,079.28x = 186,891,557,828.94
  5. Step 5: Solve for x
    x = 186,891,557,828.94/197,079.28
  6. Step 6: Final answer
    x = 948,306.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.