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Finding the Third Proportional to 203,755.50 and 314,867.25

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Solution

The third proportional to 203,755.50 and 314,867.25 is: 486,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,755.50 : 314,867.25 = 314,867.25 : x
  2. Step 2: Convert to fraction form
    203,755.50/314,867.25 = 314,867.25/x
  3. Step 3: Cross multiply
    203,755.50x = 314,867.25 × 314,867.25
  4. Step 4: Simplify right side
    203,755.50x = 99,141,385,122.56
  5. Step 5: Solve for x
    x = 99,141,385,122.56/203,755.50
  6. Step 6: Final answer
    x = 486,570.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.