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Finding the Third Proportional to 198,368 and 436,048

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Solution

The third proportional to 198,368 and 436,048 is: 958,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,368 : 436,048 = 436,048 : x
  2. Step 2: Convert to fraction form
    198,368/436,048 = 436,048/x
  3. Step 3: Cross multiply
    198,368x = 436,048 × 436,048
  4. Step 4: Simplify right side
    198,368x = 190,137,858,304
  5. Step 5: Solve for x
    x = 190,137,858,304/198,368
  6. Step 6: Final answer
    x = 958,510.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.