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Finding the Third Proportional to 144,938 and 200,271

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Solution

The third proportional to 144,938 and 200,271 is: 276,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,938 : 200,271 = 200,271 : x
  2. Step 2: Convert to fraction form
    144,938/200,271 = 200,271/x
  3. Step 3: Cross multiply
    144,938x = 200,271 × 200,271
  4. Step 4: Simplify right side
    144,938x = 40,108,473,441
  5. Step 5: Solve for x
    x = 40,108,473,441/144,938
  6. Step 6: Final answer
    x = 276,728.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.