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Finding the Third Proportional to 81,412 and 178,376

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Solution

The third proportional to 81,412 and 178,376 is: 390,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412 : 178,376 = 178,376 : x
  2. Step 2: Convert to fraction form
    81,412/178,376 = 178,376/x
  3. Step 3: Cross multiply
    81,412x = 178,376 × 178,376
  4. Step 4: Simplify right side
    81,412x = 31,817,997,376
  5. Step 5: Solve for x
    x = 31,817,997,376/81,412
  6. Step 6: Final answer
    x = 390,826.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.