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Finding the Third Proportional to 144,196 and 192,882

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Solution

The third proportional to 144,196 and 192,882 is: 258,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,196 : 192,882 = 192,882 : x
  2. Step 2: Convert to fraction form
    144,196/192,882 = 192,882/x
  3. Step 3: Cross multiply
    144,196x = 192,882 × 192,882
  4. Step 4: Simplify right side
    144,196x = 37,203,465,924
  5. Step 5: Solve for x
    x = 37,203,465,924/144,196
  6. Step 6: Final answer
    x = 258,006.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.