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Finding the Third Proportional to 132,146 and 281,368

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Solution

The third proportional to 132,146 and 281,368 is: 599,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146 : 281,368 = 281,368 : x
  2. Step 2: Convert to fraction form
    132,146/281,368 = 281,368/x
  3. Step 3: Cross multiply
    132,146x = 281,368 × 281,368
  4. Step 4: Simplify right side
    132,146x = 79,167,951,424
  5. Step 5: Solve for x
    x = 79,167,951,424/132,146
  6. Step 6: Final answer
    x = 599,094.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.