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Finding the Third Proportional to 164,340 and 261,574

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Solution

The third proportional to 164,340 and 261,574 is: 416,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,340 : 261,574 = 261,574 : x
  2. Step 2: Convert to fraction form
    164,340/261,574 = 261,574/x
  3. Step 3: Cross multiply
    164,340x = 261,574 × 261,574
  4. Step 4: Simplify right side
    164,340x = 68,420,957,476
  5. Step 5: Solve for x
    x = 68,420,957,476/164,340
  6. Step 6: Final answer
    x = 416,337.82

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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.