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Finding the Third Proportional to 164,328.75 and 259,983

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Solution

The third proportional to 164,328.75 and 259,983 is: 411,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,328.75 : 259,983 = 259,983 : x
  2. Step 2: Convert to fraction form
    164,328.75/259,983 = 259,983/x
  3. Step 3: Cross multiply
    164,328.75x = 259,983 × 259,983
  4. Step 4: Simplify right side
    164,328.75x = 67,591,160,289
  5. Step 5: Solve for x
    x = 67,591,160,289/164,328.75
  6. Step 6: Final answer
    x = 411,316.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.