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Finding the Third Proportional to 232,733.25 and 338,985

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Solution

The third proportional to 232,733.25 and 338,985 is: 493,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,733.25 : 338,985 = 338,985 : x
  2. Step 2: Convert to fraction form
    232,733.25/338,985 = 338,985/x
  3. Step 3: Cross multiply
    232,733.25x = 338,985 × 338,985
  4. Step 4: Simplify right side
    232,733.25x = 114,910,830,225
  5. Step 5: Solve for x
    x = 114,910,830,225/232,733.25
  6. Step 6: Final answer
    x = 493,744.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.