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Finding the Third Proportional to 197,438.50 and 288,753

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Solution

The third proportional to 197,438.50 and 288,753 is: 422,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,438.50 : 288,753 = 288,753 : x
  2. Step 2: Convert to fraction form
    197,438.50/288,753 = 288,753/x
  3. Step 3: Cross multiply
    197,438.50x = 288,753 × 288,753
  4. Step 4: Simplify right side
    197,438.50x = 83,378,295,009
  5. Step 5: Solve for x
    x = 83,378,295,009/197,438.50
  6. Step 6: Final answer
    x = 422,300.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.