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Finding the Third Proportional to 164,240 and 261,120

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Solution

The third proportional to 164,240 and 261,120 is: 415,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,240 : 261,120 = 261,120 : x
  2. Step 2: Convert to fraction form
    164,240/261,120 = 261,120/x
  3. Step 3: Cross multiply
    164,240x = 261,120 × 261,120
  4. Step 4: Simplify right side
    164,240x = 68,183,654,400
  5. Step 5: Solve for x
    x = 68,183,654,400/164,240
  6. Step 6: Final answer
    x = 415,146.46

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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.