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Finding the Third Proportional to 197,912.53 and 431,347.78

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Solution

The third proportional to 197,912.53 and 431,347.78 is: 940,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,912.53 : 431,347.78 = 431,347.78 : x
  2. Step 2: Convert to fraction form
    197,912.53/431,347.78 = 431,347.78/x
  3. Step 3: Cross multiply
    197,912.53x = 431,347.78 × 431,347.78
  4. Step 4: Simplify right side
    197,912.53x = 186,060,908,389.30
  5. Step 5: Solve for x
    x = 186,060,908,389.30/197,912.53
  6. Step 6: Final answer
    x = 940,116.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.