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Finding the Third Proportional to 198,303 and 386,643

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Solution

The third proportional to 198,303 and 386,643 is: 753,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,303 : 386,643 = 386,643 : x
  2. Step 2: Convert to fraction form
    198,303/386,643 = 386,643/x
  3. Step 3: Cross multiply
    198,303x = 386,643 × 386,643
  4. Step 4: Simplify right side
    198,303x = 149,492,809,449
  5. Step 5: Solve for x
    x = 149,492,809,449/198,303
  6. Step 6: Final answer
    x = 753,860.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.