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Finding the Third Proportional to 114,506 and 244,231

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Solution

The third proportional to 114,506 and 244,231 is: 520,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,506 : 244,231 = 244,231 : x
  2. Step 2: Convert to fraction form
    114,506/244,231 = 244,231/x
  3. Step 3: Cross multiply
    114,506x = 244,231 × 244,231
  4. Step 4: Simplify right side
    114,506x = 59,648,781,361
  5. Step 5: Solve for x
    x = 59,648,781,361/114,506
  6. Step 6: Final answer
    x = 520,922.76

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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.