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Finding the Third Proportional to 179,901 and 268,393.50

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Solution

The third proportional to 179,901 and 268,393.50 is: 400,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,901 : 268,393.50 = 268,393.50 : x
  2. Step 2: Convert to fraction form
    179,901/268,393.50 = 268,393.50/x
  3. Step 3: Cross multiply
    179,901x = 268,393.50 × 268,393.50
  4. Step 4: Simplify right side
    179,901x = 72,035,070,842.25
  5. Step 5: Solve for x
    x = 72,035,070,842.25/179,901
  6. Step 6: Final answer
    x = 400,415.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.