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Finding the Third Proportional to 250,232 and 388,044

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Solution

The third proportional to 250,232 and 388,044 is: 601,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,232 : 388,044 = 388,044 : x
  2. Step 2: Convert to fraction form
    250,232/388,044 = 388,044/x
  3. Step 3: Cross multiply
    250,232x = 388,044 × 388,044
  4. Step 4: Simplify right side
    250,232x = 150,578,145,936
  5. Step 5: Solve for x
    x = 150,578,145,936/250,232
  6. Step 6: Final answer
    x = 601,754.16

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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.