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Finding the Third Proportional to 163,754 and 293,812

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Solution

The third proportional to 163,754 and 293,812 is: 527,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,754 : 293,812 = 293,812 : x
  2. Step 2: Convert to fraction form
    163,754/293,812 = 293,812/x
  3. Step 3: Cross multiply
    163,754x = 293,812 × 293,812
  4. Step 4: Simplify right side
    163,754x = 86,325,491,344
  5. Step 5: Solve for x
    x = 86,325,491,344/163,754
  6. Step 6: Final answer
    x = 527,165.70

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.