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Finding the Third Proportional to 250,560 and 388,224

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Solution

The third proportional to 250,560 and 388,224 is: 601,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,560 : 388,224 = 388,224 : x
  2. Step 2: Convert to fraction form
    250,560/388,224 = 388,224/x
  3. Step 3: Cross multiply
    250,560x = 388,224 × 388,224
  4. Step 4: Simplify right side
    250,560x = 150,717,874,176
  5. Step 5: Solve for x
    x = 150,717,874,176/250,560
  6. Step 6: Final answer
    x = 601,524.08

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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.