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Finding the Third Proportional to 119,276 and 178,302

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Solution

The third proportional to 119,276 and 178,302 is: 266,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,276 : 178,302 = 178,302 : x
  2. Step 2: Convert to fraction form
    119,276/178,302 = 178,302/x
  3. Step 3: Cross multiply
    119,276x = 178,302 × 178,302
  4. Step 4: Simplify right side
    119,276x = 31,791,603,204
  5. Step 5: Solve for x
    x = 31,791,603,204/119,276
  6. Step 6: Final answer
    x = 266,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.