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Finding the Third Proportional to 164,426 and 246,661

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Solution

The third proportional to 164,426 and 246,661 is: 370,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,426 : 246,661 = 246,661 : x
  2. Step 2: Convert to fraction form
    164,426/246,661 = 246,661/x
  3. Step 3: Cross multiply
    164,426x = 246,661 × 246,661
  4. Step 4: Simplify right side
    164,426x = 60,841,648,921
  5. Step 5: Solve for x
    x = 60,841,648,921/164,426
  6. Step 6: Final answer
    x = 370,024.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.