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Finding the Third Proportional to 148,364 and 226,284

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Solution

The third proportional to 148,364 and 226,284 is: 345,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,364 : 226,284 = 226,284 : x
  2. Step 2: Convert to fraction form
    148,364/226,284 = 226,284/x
  3. Step 3: Cross multiply
    148,364x = 226,284 × 226,284
  4. Step 4: Simplify right side
    148,364x = 51,204,448,656
  5. Step 5: Solve for x
    x = 51,204,448,656/148,364
  6. Step 6: Final answer
    x = 345,127.18

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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.