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Finding the Third Proportional to 199,293 and 296,100

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Solution

The third proportional to 199,293 and 296,100 is: 439,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,293 : 296,100 = 296,100 : x
  2. Step 2: Convert to fraction form
    199,293/296,100 = 296,100/x
  3. Step 3: Cross multiply
    199,293x = 296,100 × 296,100
  4. Step 4: Simplify right side
    199,293x = 87,675,210,000
  5. Step 5: Solve for x
    x = 87,675,210,000/199,293
  6. Step 6: Final answer
    x = 439,931.21

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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.