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Finding the Third Proportional to 202,816 and 418,560

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Solution

The third proportional to 202,816 and 418,560 is: 863,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816 : 418,560 = 418,560 : x
  2. Step 2: Convert to fraction form
    202,816/418,560 = 418,560/x
  3. Step 3: Cross multiply
    202,816x = 418,560 × 418,560
  4. Step 4: Simplify right side
    202,816x = 175,192,473,600
  5. Step 5: Solve for x
    x = 175,192,473,600/202,816
  6. Step 6: Final answer
    x = 863,800.06

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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.