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Finding the Third Proportional to 203,083.50 and 315,727.50

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Solution

The third proportional to 203,083.50 and 315,727.50 is: 490,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,083.50 : 315,727.50 = 315,727.50 : x
  2. Step 2: Convert to fraction form
    203,083.50/315,727.50 = 315,727.50/x
  3. Step 3: Cross multiply
    203,083.50x = 315,727.50 × 315,727.50
  4. Step 4: Simplify right side
    203,083.50x = 99,683,854,256.25
  5. Step 5: Solve for x
    x = 99,683,854,256.25/203,083.50
  6. Step 6: Final answer
    x = 490,851.57

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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.