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Finding the Third Proportional to 164,767 and 246,583

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Solution

The third proportional to 164,767 and 246,583 is: 369,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,767 : 246,583 = 246,583 : x
  2. Step 2: Convert to fraction form
    164,767/246,583 = 246,583/x
  3. Step 3: Cross multiply
    164,767x = 246,583 × 246,583
  4. Step 4: Simplify right side
    164,767x = 60,803,175,889
  5. Step 5: Solve for x
    x = 60,803,175,889/164,767
  6. Step 6: Final answer
    x = 369,025.20

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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.