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Finding the Third Proportional to 192,196 and 293,034

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Solution

The third proportional to 192,196 and 293,034 is: 446,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,196 : 293,034 = 293,034 : x
  2. Step 2: Convert to fraction form
    192,196/293,034 = 293,034/x
  3. Step 3: Cross multiply
    192,196x = 293,034 × 293,034
  4. Step 4: Simplify right side
    192,196x = 85,868,925,156
  5. Step 5: Solve for x
    x = 85,868,925,156/192,196
  6. Step 6: Final answer
    x = 446,777.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.