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Finding the Third Proportional to 164,466 and 246,034.50

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Solution

The third proportional to 164,466 and 246,034.50 is: 368,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,466 : 246,034.50 = 246,034.50 : x
  2. Step 2: Convert to fraction form
    164,466/246,034.50 = 246,034.50/x
  3. Step 3: Cross multiply
    164,466x = 246,034.50 × 246,034.50
  4. Step 4: Simplify right side
    164,466x = 60,532,975,190.25
  5. Step 5: Solve for x
    x = 60,532,975,190.25/164,466
  6. Step 6: Final answer
    x = 368,057.68

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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.