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Finding the Third Proportional to 167,330 and 326,252.50

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Solution

The third proportional to 167,330 and 326,252.50 is: 636,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,330 : 326,252.50 = 326,252.50 : x
  2. Step 2: Convert to fraction form
    167,330/326,252.50 = 326,252.50/x
  3. Step 3: Cross multiply
    167,330x = 326,252.50 × 326,252.50
  4. Step 4: Simplify right side
    167,330x = 106,440,693,756.25
  5. Step 5: Solve for x
    x = 106,440,693,756.25/167,330
  6. Step 6: Final answer
    x = 636,112.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.