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Finding the Third Proportional to 150,358 and 324,221

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Solution

The third proportional to 150,358 and 324,221 is: 699,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,358 : 324,221 = 324,221 : x
  2. Step 2: Convert to fraction form
    150,358/324,221 = 324,221/x
  3. Step 3: Cross multiply
    150,358x = 324,221 × 324,221
  4. Step 4: Simplify right side
    150,358x = 105,119,256,841
  5. Step 5: Solve for x
    x = 105,119,256,841/150,358
  6. Step 6: Final answer
    x = 699,126.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.