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Finding the Third Proportional to 199,286 and 296,091

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Solution

The third proportional to 199,286 and 296,091 is: 439,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,286 : 296,091 = 296,091 : x
  2. Step 2: Convert to fraction form
    199,286/296,091 = 296,091/x
  3. Step 3: Cross multiply
    199,286x = 296,091 × 296,091
  4. Step 4: Simplify right side
    199,286x = 87,669,880,281
  5. Step 5: Solve for x
    x = 87,669,880,281/199,286
  6. Step 6: Final answer
    x = 439,919.92

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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.