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Finding the Third Proportional to 202,768 and 418,387

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Solution

The third proportional to 202,768 and 418,387 is: 863,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,768 : 418,387 = 418,387 : x
  2. Step 2: Convert to fraction form
    202,768/418,387 = 418,387/x
  3. Step 3: Cross multiply
    202,768x = 418,387 × 418,387
  4. Step 4: Simplify right side
    202,768x = 175,047,681,769
  5. Step 5: Solve for x
    x = 175,047,681,769/202,768
  6. Step 6: Final answer
    x = 863,290.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.