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Finding the Third Proportional to 197,729.25 and 306,424.50

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Solution

The third proportional to 197,729.25 and 306,424.50 is: 474,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,729.25 : 306,424.50 = 306,424.50 : x
  2. Step 2: Convert to fraction form
    197,729.25/306,424.50 = 306,424.50/x
  3. Step 3: Cross multiply
    197,729.25x = 306,424.50 × 306,424.50
  4. Step 4: Simplify right side
    197,729.25x = 93,895,974,200.25
  5. Step 5: Solve for x
    x = 93,895,974,200.25/197,729.25
  6. Step 6: Final answer
    x = 474,871.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.