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Finding the Third Proportional to 94,281 and 198,258

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Solution

The third proportional to 94,281 and 198,258 is: 416,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,281 : 198,258 = 198,258 : x
  2. Step 2: Convert to fraction form
    94,281/198,258 = 198,258/x
  3. Step 3: Cross multiply
    94,281x = 198,258 × 198,258
  4. Step 4: Simplify right side
    94,281x = 39,306,234,564
  5. Step 5: Solve for x
    x = 39,306,234,564/94,281
  6. Step 6: Final answer
    x = 416,905.15

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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.