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Finding the Third Proportional to 203,756.50 and 314,869

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Solution

The third proportional to 203,756.50 and 314,869 is: 486,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,756.50 : 314,869 = 314,869 : x
  2. Step 2: Convert to fraction form
    203,756.50/314,869 = 314,869/x
  3. Step 3: Cross multiply
    203,756.50x = 314,869 × 314,869
  4. Step 4: Simplify right side
    203,756.50x = 99,142,487,161
  5. Step 5: Solve for x
    x = 99,142,487,161/203,756.50
  6. Step 6: Final answer
    x = 486,573.37

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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.