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Finding the Third Proportional to 132,958 and 198,985

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Solution

The third proportional to 132,958 and 198,985 is: 297,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,958 : 198,985 = 198,985 : x
  2. Step 2: Convert to fraction form
    132,958/198,985 = 198,985/x
  3. Step 3: Cross multiply
    132,958x = 198,985 × 198,985
  4. Step 4: Simplify right side
    132,958x = 39,595,030,225
  5. Step 5: Solve for x
    x = 39,595,030,225/132,958
  6. Step 6: Final answer
    x = 297,801.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.