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Finding the Third Proportional to 197,943 and 431,611.88

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Solution

The third proportional to 197,943 and 431,611.88 is: 941,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,943 : 431,611.88 = 431,611.88 : x
  2. Step 2: Convert to fraction form
    197,943/431,611.88 = 431,611.88/x
  3. Step 3: Cross multiply
    197,943x = 431,611.88 × 431,611.88
  4. Step 4: Simplify right side
    197,943x = 186,288,810,641.02
  5. Step 5: Solve for x
    x = 186,288,810,641.02/197,943
  6. Step 6: Final answer
    x = 941,123.51

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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.