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Finding the Third Proportional to 152,163 and 327,708

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Solution

The third proportional to 152,163 and 327,708 is: 705,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163 : 327,708 = 327,708 : x
  2. Step 2: Convert to fraction form
    152,163/327,708 = 327,708/x
  3. Step 3: Cross multiply
    152,163x = 327,708 × 327,708
  4. Step 4: Simplify right side
    152,163x = 107,392,533,264
  5. Step 5: Solve for x
    x = 107,392,533,264/152,163
  6. Step 6: Final answer
    x = 705,772.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.