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Finding the Third Proportional to 198,412.50 and 304,028

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Solution

The third proportional to 198,412.50 and 304,028 is: 465,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,412.50 : 304,028 = 304,028 : x
  2. Step 2: Convert to fraction form
    198,412.50/304,028 = 304,028/x
  3. Step 3: Cross multiply
    198,412.50x = 304,028 × 304,028
  4. Step 4: Simplify right side
    198,412.50x = 92,433,024,784
  5. Step 5: Solve for x
    x = 92,433,024,784/198,412.50
  6. Step 6: Final answer
    x = 465,862.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.