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Finding the Third Proportional to 178,880 and 242,074

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Solution

The third proportional to 178,880 and 242,074 is: 327,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,880 : 242,074 = 242,074 : x
  2. Step 2: Convert to fraction form
    178,880/242,074 = 242,074/x
  3. Step 3: Cross multiply
    178,880x = 242,074 × 242,074
  4. Step 4: Simplify right side
    178,880x = 58,599,821,476
  5. Step 5: Solve for x
    x = 58,599,821,476/178,880
  6. Step 6: Final answer
    x = 327,592.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.