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Finding the Third Proportional to 150,921 and 314,343

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Solution

The third proportional to 150,921 and 314,343 is: 654,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,921 : 314,343 = 314,343 : x
  2. Step 2: Convert to fraction form
    150,921/314,343 = 314,343/x
  3. Step 3: Cross multiply
    150,921x = 314,343 × 314,343
  4. Step 4: Simplify right side
    150,921x = 98,811,521,649
  5. Step 5: Solve for x
    x = 98,811,521,649/150,921
  6. Step 6: Final answer
    x = 654,723.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.