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Finding the Third Proportional to 96,246 and 198,594

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Solution

The third proportional to 96,246 and 198,594 is: 409,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,246 : 198,594 = 198,594 : x
  2. Step 2: Convert to fraction form
    96,246/198,594 = 198,594/x
  3. Step 3: Cross multiply
    96,246x = 198,594 × 198,594
  4. Step 4: Simplify right side
    96,246x = 39,439,576,836
  5. Step 5: Solve for x
    x = 39,439,576,836/96,246
  6. Step 6: Final answer
    x = 409,778.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.