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Finding the Third Proportional to 148,972 and 331,044

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Solution

The third proportional to 148,972 and 331,044 is: 735,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,972 : 331,044 = 331,044 : x
  2. Step 2: Convert to fraction form
    148,972/331,044 = 331,044/x
  3. Step 3: Cross multiply
    148,972x = 331,044 × 331,044
  4. Step 4: Simplify right side
    148,972x = 109,590,129,936
  5. Step 5: Solve for x
    x = 109,590,129,936/148,972
  6. Step 6: Final answer
    x = 735,642.47

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.