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Finding the Third Proportional to 114,522 and 244,263

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Solution

The third proportional to 114,522 and 244,263 is: 520,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,522 : 244,263 = 244,263 : x
  2. Step 2: Convert to fraction form
    114,522/244,263 = 244,263/x
  3. Step 3: Cross multiply
    114,522x = 244,263 × 244,263
  4. Step 4: Simplify right side
    114,522x = 59,664,413,169
  5. Step 5: Solve for x
    x = 59,664,413,169/114,522
  6. Step 6: Final answer
    x = 520,986.48

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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.