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Finding the Third Proportional to 150,161 and 326,281

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Solution

The third proportional to 150,161 and 326,281 is: 708,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,161 : 326,281 = 326,281 : x
  2. Step 2: Convert to fraction form
    150,161/326,281 = 326,281/x
  3. Step 3: Cross multiply
    150,161x = 326,281 × 326,281
  4. Step 4: Simplify right side
    150,161x = 106,459,290,961
  5. Step 5: Solve for x
    x = 106,459,290,961/150,161
  6. Step 6: Final answer
    x = 708,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.