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Finding the Third Proportional to 193,959 and 299,472

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Solution

The third proportional to 193,959 and 299,472 is: 462,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,959 : 299,472 = 299,472 : x
  2. Step 2: Convert to fraction form
    193,959/299,472 = 299,472/x
  3. Step 3: Cross multiply
    193,959x = 299,472 × 299,472
  4. Step 4: Simplify right side
    193,959x = 89,683,478,784
  5. Step 5: Solve for x
    x = 89,683,478,784/193,959
  6. Step 6: Final answer
    x = 462,383.69

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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.