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Finding the Third Proportional to 199,290 and 296,096

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Solution

The third proportional to 199,290 and 296,096 is: 439,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,290 : 296,096 = 296,096 : x
  2. Step 2: Convert to fraction form
    199,290/296,096 = 296,096/x
  3. Step 3: Cross multiply
    199,290x = 296,096 × 296,096
  4. Step 4: Simplify right side
    199,290x = 87,672,841,216
  5. Step 5: Solve for x
    x = 87,672,841,216/199,290
  6. Step 6: Final answer
    x = 439,925.94

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