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Finding the Third Proportional to 207,224 and 320,951

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Solution

The third proportional to 207,224 and 320,951 is: 497,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,224 : 320,951 = 320,951 : x
  2. Step 2: Convert to fraction form
    207,224/320,951 = 320,951/x
  3. Step 3: Cross multiply
    207,224x = 320,951 × 320,951
  4. Step 4: Simplify right side
    207,224x = 103,009,544,401
  5. Step 5: Solve for x
    x = 103,009,544,401/207,224
  6. Step 6: Final answer
    x = 497,092.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.