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Finding the Third Proportional to 148,974 and 340,356

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Solution

The third proportional to 148,974 and 340,356 is: 777,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,974 : 340,356 = 340,356 : x
  2. Step 2: Convert to fraction form
    148,974/340,356 = 340,356/x
  3. Step 3: Cross multiply
    148,974x = 340,356 × 340,356
  4. Step 4: Simplify right side
    148,974x = 115,842,206,736
  5. Step 5: Solve for x
    x = 115,842,206,736/148,974
  6. Step 6: Final answer
    x = 777,600.16

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.