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Finding the Third Proportional to 178,691 and 276,434

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Solution

The third proportional to 178,691 and 276,434 is: 427,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,691 : 276,434 = 276,434 : x
  2. Step 2: Convert to fraction form
    178,691/276,434 = 276,434/x
  3. Step 3: Cross multiply
    178,691x = 276,434 × 276,434
  4. Step 4: Simplify right side
    178,691x = 76,415,756,356
  5. Step 5: Solve for x
    x = 76,415,756,356/178,691
  6. Step 6: Final answer
    x = 427,641.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.