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Finding the Third Proportional to 191,229.75 and 281,307.38

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Solution

The third proportional to 191,229.75 and 281,307.38 is: 413,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,229.75 : 281,307.38 = 281,307.38 : x
  2. Step 2: Convert to fraction form
    191,229.75/281,307.38 = 281,307.38/x
  3. Step 3: Cross multiply
    191,229.75x = 281,307.38 × 281,307.38
  4. Step 4: Simplify right side
    191,229.75x = 79,133,839,229.39
  5. Step 5: Solve for x
    x = 79,133,839,229.39/191,229.75
  6. Step 6: Final answer
    x = 413,815.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.