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Finding the Third Proportional to 133,084.50 and 211,648.50

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Solution

The third proportional to 133,084.50 and 211,648.50 is: 336,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.50 : 211,648.50 = 211,648.50 : x
  2. Step 2: Convert to fraction form
    133,084.50/211,648.50 = 211,648.50/x
  3. Step 3: Cross multiply
    133,084.50x = 211,648.50 × 211,648.50
  4. Step 4: Simplify right side
    133,084.50x = 44,795,087,552.25
  5. Step 5: Solve for x
    x = 44,795,087,552.25/133,084.50
  6. Step 6: Final answer
    x = 336,591.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.