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Finding the Third Proportional to 199,294 and 296,101

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Solution

The third proportional to 199,294 and 296,101 is: 439,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,294 : 296,101 = 296,101 : x
  2. Step 2: Convert to fraction form
    199,294/296,101 = 296,101/x
  3. Step 3: Cross multiply
    199,294x = 296,101 × 296,101
  4. Step 4: Simplify right side
    199,294x = 87,675,802,201
  5. Step 5: Solve for x
    x = 87,675,802,201/199,294
  6. Step 6: Final answer
    x = 439,931.97

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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.