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Finding the Third Proportional to 148,824 and 327,278.81

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Solution

The third proportional to 148,824 and 327,278.81 is: 719,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,824 : 327,278.81 = 327,278.81 : x
  2. Step 2: Convert to fraction form
    148,824/327,278.81 = 327,278.81/x
  3. Step 3: Cross multiply
    148,824x = 327,278.81 × 327,278.81
  4. Step 4: Simplify right side
    148,824x = 107,111,421,111.41
  5. Step 5: Solve for x
    x = 107,111,421,111.41/148,824
  6. Step 6: Final answer
    x = 719,718.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.