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Finding the Third Proportional to 224,220 and 333,137.50

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Solution

The third proportional to 224,220 and 333,137.50 is: 494,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,220 : 333,137.50 = 333,137.50 : x
  2. Step 2: Convert to fraction form
    224,220/333,137.50 = 333,137.50/x
  3. Step 3: Cross multiply
    224,220x = 333,137.50 × 333,137.50
  4. Step 4: Simplify right side
    224,220x = 110,980,593,906.25
  5. Step 5: Solve for x
    x = 110,980,593,906.25/224,220
  6. Step 6: Final answer
    x = 494,962.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.