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Finding the Third Proportional to 207,222 and 314,884

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Solution

The third proportional to 207,222 and 314,884 is: 478,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,222 : 314,884 = 314,884 : x
  2. Step 2: Convert to fraction form
    207,222/314,884 = 314,884/x
  3. Step 3: Cross multiply
    207,222x = 314,884 × 314,884
  4. Step 4: Simplify right side
    207,222x = 99,151,933,456
  5. Step 5: Solve for x
    x = 99,151,933,456/207,222
  6. Step 6: Final answer
    x = 478,481.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.