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Finding the Third Proportional to 194,280 and 308,924

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Solution

The third proportional to 194,280 and 308,924 is: 491,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280 : 308,924 = 308,924 : x
  2. Step 2: Convert to fraction form
    194,280/308,924 = 308,924/x
  3. Step 3: Cross multiply
    194,280x = 308,924 × 308,924
  4. Step 4: Simplify right side
    194,280x = 95,434,037,776
  5. Step 5: Solve for x
    x = 95,434,037,776/194,280
  6. Step 6: Final answer
    x = 491,219.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.