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Finding the Third Proportional to 96,309 and 232,015.50

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Solution

The third proportional to 96,309 and 232,015.50 is: 558,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309 : 232,015.50 = 232,015.50 : x
  2. Step 2: Convert to fraction form
    96,309/232,015.50 = 232,015.50/x
  3. Step 3: Cross multiply
    96,309x = 232,015.50 × 232,015.50
  4. Step 4: Simplify right side
    96,309x = 53,831,192,240.25
  5. Step 5: Solve for x
    x = 53,831,192,240.25/96,309
  6. Step 6: Final answer
    x = 558,942.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.