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Finding the Third Proportional to 203,151.75 and 314,998.50

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Solution

The third proportional to 203,151.75 and 314,998.50 is: 488,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,151.75 : 314,998.50 = 314,998.50 : x
  2. Step 2: Convert to fraction form
    203,151.75/314,998.50 = 314,998.50/x
  3. Step 3: Cross multiply
    203,151.75x = 314,998.50 × 314,998.50
  4. Step 4: Simplify right side
    203,151.75x = 99,224,055,002.25
  5. Step 5: Solve for x
    x = 99,224,055,002.25/203,151.75
  6. Step 6: Final answer
    x = 488,423.33

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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.