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Finding the Third Proportional to 203,882 and 314,728

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Solution

The third proportional to 203,882 and 314,728 is: 485,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882 : 314,728 = 314,728 : x
  2. Step 2: Convert to fraction form
    203,882/314,728 = 314,728/x
  3. Step 3: Cross multiply
    203,882x = 314,728 × 314,728
  4. Step 4: Simplify right side
    203,882x = 99,053,713,984
  5. Step 5: Solve for x
    x = 99,053,713,984/203,882
  6. Step 6: Final answer
    x = 485,838.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.