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Finding the Third Proportional to 102,024 and 220,441.50

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Solution

The third proportional to 102,024 and 220,441.50 is: 476,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024 : 220,441.50 = 220,441.50 : x
  2. Step 2: Convert to fraction form
    102,024/220,441.50 = 220,441.50/x
  3. Step 3: Cross multiply
    102,024x = 220,441.50 × 220,441.50
  4. Step 4: Simplify right side
    102,024x = 48,594,454,922.25
  5. Step 5: Solve for x
    x = 48,594,454,922.25/102,024
  6. Step 6: Final answer
    x = 476,304.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.