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Finding the Third Proportional to 202,887 and 303,169.50

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Solution

The third proportional to 202,887 and 303,169.50 is: 453,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,887 : 303,169.50 = 303,169.50 : x
  2. Step 2: Convert to fraction form
    202,887/303,169.50 = 303,169.50/x
  3. Step 3: Cross multiply
    202,887x = 303,169.50 × 303,169.50
  4. Step 4: Simplify right side
    202,887x = 91,911,745,730.25
  5. Step 5: Solve for x
    x = 91,911,745,730.25/202,887
  6. Step 6: Final answer
    x = 453,019.39

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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.