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Finding the Third Proportional to 148,110 and 315,928

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Solution

The third proportional to 148,110 and 315,928 is: 673,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,110 : 315,928 = 315,928 : x
  2. Step 2: Convert to fraction form
    148,110/315,928 = 315,928/x
  3. Step 3: Cross multiply
    148,110x = 315,928 × 315,928
  4. Step 4: Simplify right side
    148,110x = 99,810,501,184
  5. Step 5: Solve for x
    x = 99,810,501,184/148,110
  6. Step 6: Final answer
    x = 673,894.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.