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Finding the Third Proportional to 194,461 and 299,988

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Solution

The third proportional to 194,461 and 299,988 is: 462,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,461 : 299,988 = 299,988 : x
  2. Step 2: Convert to fraction form
    194,461/299,988 = 299,988/x
  3. Step 3: Cross multiply
    194,461x = 299,988 × 299,988
  4. Step 4: Simplify right side
    194,461x = 89,992,800,144
  5. Step 5: Solve for x
    x = 89,992,800,144/194,461
  6. Step 6: Final answer
    x = 462,780.71

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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.