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Finding the Third Proportional to 146,368 and 198,792

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Solution

The third proportional to 146,368 and 198,792 is: 269,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368 : 198,792 = 198,792 : x
  2. Step 2: Convert to fraction form
    146,368/198,792 = 198,792/x
  3. Step 3: Cross multiply
    146,368x = 198,792 × 198,792
  4. Step 4: Simplify right side
    146,368x = 39,518,259,264
  5. Step 5: Solve for x
    x = 39,518,259,264/146,368
  6. Step 6: Final answer
    x = 269,992.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.