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Finding the Third Proportional to 194,432 and 299,926

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Solution

The third proportional to 194,432 and 299,926 is: 462,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,432 : 299,926 = 299,926 : x
  2. Step 2: Convert to fraction form
    194,432/299,926 = 299,926/x
  3. Step 3: Cross multiply
    194,432x = 299,926 × 299,926
  4. Step 4: Simplify right side
    194,432x = 89,955,605,476
  5. Step 5: Solve for x
    x = 89,955,605,476/194,432
  6. Step 6: Final answer
    x = 462,658.44

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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.