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Finding the Third Proportional to 184,712.50 and 398,896.50

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Solution

The third proportional to 184,712.50 and 398,896.50 is: 861,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,712.50 : 398,896.50 = 398,896.50 : x
  2. Step 2: Convert to fraction form
    184,712.50/398,896.50 = 398,896.50/x
  3. Step 3: Cross multiply
    184,712.50x = 398,896.50 × 398,896.50
  4. Step 4: Simplify right side
    184,712.50x = 159,118,417,712.25
  5. Step 5: Solve for x
    x = 159,118,417,712.25/184,712.50
  6. Step 6: Final answer
    x = 861,438.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.