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Finding the Third Proportional to 114,526 and 244,271

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Solution

The third proportional to 114,526 and 244,271 is: 521,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,526 : 244,271 = 244,271 : x
  2. Step 2: Convert to fraction form
    114,526/244,271 = 244,271/x
  3. Step 3: Cross multiply
    114,526x = 244,271 × 244,271
  4. Step 4: Simplify right side
    114,526x = 59,668,321,441
  5. Step 5: Solve for x
    x = 59,668,321,441/114,526
  6. Step 6: Final answer
    x = 521,002.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.