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Finding the Third Proportional to 179,930 and 387,539.50

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Solution

The third proportional to 179,930 and 387,539.50 is: 834,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,930 : 387,539.50 = 387,539.50 : x
  2. Step 2: Convert to fraction form
    179,930/387,539.50 = 387,539.50/x
  3. Step 3: Cross multiply
    179,930x = 387,539.50 × 387,539.50
  4. Step 4: Simplify right side
    179,930x = 150,186,864,060.25
  5. Step 5: Solve for x
    x = 150,186,864,060.25/179,930
  6. Step 6: Final answer
    x = 834,696.07

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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.