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Finding the Third Proportional to 211,925 and 320,048

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Solution

The third proportional to 211,925 and 320,048 is: 483,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,925 : 320,048 = 320,048 : x
  2. Step 2: Convert to fraction form
    211,925/320,048 = 320,048/x
  3. Step 3: Cross multiply
    211,925x = 320,048 × 320,048
  4. Step 4: Simplify right side
    211,925x = 102,430,722,304
  5. Step 5: Solve for x
    x = 102,430,722,304/211,925
  6. Step 6: Final answer
    x = 483,334.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.