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Finding the Third Proportional to 192,803.75 and 417,784.50

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Solution

The third proportional to 192,803.75 and 417,784.50 is: 905,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,803.75 : 417,784.50 = 417,784.50 : x
  2. Step 2: Convert to fraction form
    192,803.75/417,784.50 = 417,784.50/x
  3. Step 3: Cross multiply
    192,803.75x = 417,784.50 × 417,784.50
  4. Step 4: Simplify right side
    192,803.75x = 174,543,888,440.25
  5. Step 5: Solve for x
    x = 174,543,888,440.25/192,803.75
  6. Step 6: Final answer
    x = 905,293.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.