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Finding the Third Proportional to 163,727 and 361,864

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Solution

The third proportional to 163,727 and 361,864 is: 799,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,727 : 361,864 = 361,864 : x
  2. Step 2: Convert to fraction form
    163,727/361,864 = 361,864/x
  3. Step 3: Cross multiply
    163,727x = 361,864 × 361,864
  4. Step 4: Simplify right side
    163,727x = 130,945,554,496
  5. Step 5: Solve for x
    x = 130,945,554,496/163,727
  6. Step 6: Final answer
    x = 799,779.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.