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Finding the Third Proportional to 148,448 and 222,664

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Solution

The third proportional to 148,448 and 222,664 is: 333,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,448 : 222,664 = 222,664 : x
  2. Step 2: Convert to fraction form
    148,448/222,664 = 222,664/x
  3. Step 3: Cross multiply
    148,448x = 222,664 × 222,664
  4. Step 4: Simplify right side
    148,448x = 49,579,256,896
  5. Step 5: Solve for x
    x = 49,579,256,896/148,448
  6. Step 6: Final answer
    x = 333,984.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.