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Finding the Third Proportional to 173,903 and 232,936.50

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Solution

The third proportional to 173,903 and 232,936.50 is: 312,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,903 : 232,936.50 = 232,936.50 : x
  2. Step 2: Convert to fraction form
    173,903/232,936.50 = 232,936.50/x
  3. Step 3: Cross multiply
    173,903x = 232,936.50 × 232,936.50
  4. Step 4: Simplify right side
    173,903x = 54,259,413,032.25
  5. Step 5: Solve for x
    x = 54,259,413,032.25/173,903
  6. Step 6: Final answer
    x = 312,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.