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Finding the Third Proportional to 200,048 and 309,548

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Solution

The third proportional to 200,048 and 309,548 is: 478,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048 : 309,548 = 309,548 : x
  2. Step 2: Convert to fraction form
    200,048/309,548 = 309,548/x
  3. Step 3: Cross multiply
    200,048x = 309,548 × 309,548
  4. Step 4: Simplify right side
    200,048x = 95,819,964,304
  5. Step 5: Solve for x
    x = 95,819,964,304/200,048
  6. Step 6: Final answer
    x = 478,984.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.