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Finding the Third Proportional to 192,196 and 420,591

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Solution

The third proportional to 192,196 and 420,591 is: 920,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,196 : 420,591 = 420,591 : x
  2. Step 2: Convert to fraction form
    192,196/420,591 = 420,591/x
  3. Step 3: Cross multiply
    192,196x = 420,591 × 420,591
  4. Step 4: Simplify right side
    192,196x = 176,896,789,281
  5. Step 5: Solve for x
    x = 176,896,789,281/192,196
  6. Step 6: Final answer
    x = 920,397.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.