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Finding the Third Proportional to 83,324 and 179,973

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Solution

The third proportional to 83,324 and 179,973 is: 388,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,324 : 179,973 = 179,973 : x
  2. Step 2: Convert to fraction form
    83,324/179,973 = 179,973/x
  3. Step 3: Cross multiply
    83,324x = 179,973 × 179,973
  4. Step 4: Simplify right side
    83,324x = 32,390,280,729
  5. Step 5: Solve for x
    x = 32,390,280,729/83,324
  6. Step 6: Final answer
    x = 388,726.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.