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Finding the Third Proportional to 164,238 and 261,117

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Solution

The third proportional to 164,238 and 261,117 is: 415,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,238 : 261,117 = 261,117 : x
  2. Step 2: Convert to fraction form
    164,238/261,117 = 261,117/x
  3. Step 3: Cross multiply
    164,238x = 261,117 × 261,117
  4. Step 4: Simplify right side
    164,238x = 68,182,087,689
  5. Step 5: Solve for x
    x = 68,182,087,689/164,238
  6. Step 6: Final answer
    x = 415,141.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.