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Finding the Third Proportional to 148,174 and 314,936

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Solution

The third proportional to 148,174 and 314,936 is: 669,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,174 : 314,936 = 314,936 : x
  2. Step 2: Convert to fraction form
    148,174/314,936 = 314,936/x
  3. Step 3: Cross multiply
    148,174x = 314,936 × 314,936
  4. Step 4: Simplify right side
    148,174x = 99,184,684,096
  5. Step 5: Solve for x
    x = 99,184,684,096/148,174
  6. Step 6: Final answer
    x = 669,379.81

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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.