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Finding the Third Proportional to 192,690 and 296,550

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Solution

The third proportional to 192,690 and 296,550 is: 456,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,690 : 296,550 = 296,550 : x
  2. Step 2: Convert to fraction form
    192,690/296,550 = 296,550/x
  3. Step 3: Cross multiply
    192,690x = 296,550 × 296,550
  4. Step 4: Simplify right side
    192,690x = 87,941,902,500
  5. Step 5: Solve for x
    x = 87,941,902,500/192,690
  6. Step 6: Final answer
    x = 456,390.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.