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Finding the Third Proportional to 199,368 and 296,172

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Solution

The third proportional to 199,368 and 296,172 is: 439,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,368 : 296,172 = 296,172 : x
  2. Step 2: Convert to fraction form
    199,368/296,172 = 296,172/x
  3. Step 3: Cross multiply
    199,368x = 296,172 × 296,172
  4. Step 4: Simplify right side
    199,368x = 87,717,853,584
  5. Step 5: Solve for x
    x = 87,717,853,584/199,368
  6. Step 6: Final answer
    x = 439,979.60

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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.