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Finding the Third Proportional to 199,290 and 296,097

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Solution

The third proportional to 199,290 and 296,097 is: 439,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,290 : 296,097 = 296,097 : x
  2. Step 2: Convert to fraction form
    199,290/296,097 = 296,097/x
  3. Step 3: Cross multiply
    199,290x = 296,097 × 296,097
  4. Step 4: Simplify right side
    199,290x = 87,673,433,409
  5. Step 5: Solve for x
    x = 87,673,433,409/199,290
  6. Step 6: Final answer
    x = 439,928.91

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Why These Related Problems?

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