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Finding the Third Proportional to 146,790 and 224,924

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Solution

The third proportional to 146,790 and 224,924 is: 344,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,790 : 224,924 = 224,924 : x
  2. Step 2: Convert to fraction form
    146,790/224,924 = 224,924/x
  3. Step 3: Cross multiply
    146,790x = 224,924 × 224,924
  4. Step 4: Simplify right side
    146,790x = 50,590,805,776
  5. Step 5: Solve for x
    x = 50,590,805,776/146,790
  6. Step 6: Final answer
    x = 344,647.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.