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Finding the Third Proportional to 166,273 and 248,753.50

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Solution

The third proportional to 166,273 and 248,753.50 is: 372,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,273 : 248,753.50 = 248,753.50 : x
  2. Step 2: Convert to fraction form
    166,273/248,753.50 = 248,753.50/x
  3. Step 3: Cross multiply
    166,273x = 248,753.50 × 248,753.50
  4. Step 4: Simplify right side
    166,273x = 61,878,303,762.25
  5. Step 5: Solve for x
    x = 61,878,303,762.25/166,273
  6. Step 6: Final answer
    x = 372,148.84

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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.