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Finding the Third Proportional to 193,658 and 296,061

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Solution

The third proportional to 193,658 and 296,061 is: 452,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658 : 296,061 = 296,061 : x
  2. Step 2: Convert to fraction form
    193,658/296,061 = 296,061/x
  3. Step 3: Cross multiply
    193,658x = 296,061 × 296,061
  4. Step 4: Simplify right side
    193,658x = 87,652,115,721
  5. Step 5: Solve for x
    x = 87,652,115,721/193,658
  6. Step 6: Final answer
    x = 452,612.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.