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Finding the Third Proportional to 94,275 and 198,246

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Solution

The third proportional to 94,275 and 198,246 is: 416,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,275 : 198,246 = 198,246 : x
  2. Step 2: Convert to fraction form
    94,275/198,246 = 198,246/x
  3. Step 3: Cross multiply
    94,275x = 198,246 × 198,246
  4. Step 4: Simplify right side
    94,275x = 39,301,476,516
  5. Step 5: Solve for x
    x = 39,301,476,516/94,275
  6. Step 6: Final answer
    x = 416,881.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.