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Finding the Third Proportional to 148,823 and 224,619

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Solution

The third proportional to 148,823 and 224,619 is: 339,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,823 : 224,619 = 224,619 : x
  2. Step 2: Convert to fraction form
    148,823/224,619 = 224,619/x
  3. Step 3: Cross multiply
    148,823x = 224,619 × 224,619
  4. Step 4: Simplify right side
    148,823x = 50,453,695,161
  5. Step 5: Solve for x
    x = 50,453,695,161/148,823
  6. Step 6: Final answer
    x = 339,018.13

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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.