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Finding the Third Proportional to 201,750 and 303,495.50

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Solution

The third proportional to 201,750 and 303,495.50 is: 456,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750 : 303,495.50 = 303,495.50 : x
  2. Step 2: Convert to fraction form
    201,750/303,495.50 = 303,495.50/x
  3. Step 3: Cross multiply
    201,750x = 303,495.50 × 303,495.50
  4. Step 4: Simplify right side
    201,750x = 92,109,518,520.25
  5. Step 5: Solve for x
    x = 92,109,518,520.25/201,750
  6. Step 6: Final answer
    x = 456,552.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.