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Finding the Third Proportional to 193,536 and 299,058

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Solution

The third proportional to 193,536 and 299,058 is: 462,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,536 : 299,058 = 299,058 : x
  2. Step 2: Convert to fraction form
    193,536/299,058 = 299,058/x
  3. Step 3: Cross multiply
    193,536x = 299,058 × 299,058
  4. Step 4: Simplify right side
    193,536x = 89,435,687,364
  5. Step 5: Solve for x
    x = 89,435,687,364/193,536
  6. Step 6: Final answer
    x = 462,113.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.