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Finding the Third Proportional to 193,536 and 299,052

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Solution

The third proportional to 193,536 and 299,052 is: 462,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,536 : 299,052 = 299,052 : x
  2. Step 2: Convert to fraction form
    193,536/299,052 = 299,052/x
  3. Step 3: Cross multiply
    193,536x = 299,052 × 299,052
  4. Step 4: Simplify right side
    193,536x = 89,432,098,704
  5. Step 5: Solve for x
    x = 89,432,098,704/193,536
  6. Step 6: Final answer
    x = 462,095.42

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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.