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Finding the Third Proportional to 194,288 and 299,738

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Solution

The third proportional to 194,288 and 299,738 is: 462,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,288 : 299,738 = 299,738 : x
  2. Step 2: Convert to fraction form
    194,288/299,738 = 299,738/x
  3. Step 3: Cross multiply
    194,288x = 299,738 × 299,738
  4. Step 4: Simplify right side
    194,288x = 89,842,868,644
  5. Step 5: Solve for x
    x = 89,842,868,644/194,288
  6. Step 6: Final answer
    x = 462,421.09

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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.