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Finding the Third Proportional to 118,526 and 220,237

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Solution

The third proportional to 118,526 and 220,237 is: 409,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,526 : 220,237 = 220,237 : x
  2. Step 2: Convert to fraction form
    118,526/220,237 = 220,237/x
  3. Step 3: Cross multiply
    118,526x = 220,237 × 220,237
  4. Step 4: Simplify right side
    118,526x = 48,504,336,169
  5. Step 5: Solve for x
    x = 48,504,336,169/118,526
  6. Step 6: Final answer
    x = 409,229.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.