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Finding the Third Proportional to 196,110 and 293,373

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Solution

The third proportional to 196,110 and 293,373 is: 438,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,110 : 293,373 = 293,373 : x
  2. Step 2: Convert to fraction form
    196,110/293,373 = 293,373/x
  3. Step 3: Cross multiply
    196,110x = 293,373 × 293,373
  4. Step 4: Simplify right side
    196,110x = 86,067,717,129
  5. Step 5: Solve for x
    x = 86,067,717,129/196,110
  6. Step 6: Final answer
    x = 438,874.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.