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Finding the Third Proportional to 147,690 and 222,750

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Solution

The third proportional to 147,690 and 222,750 is: 335,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,690 : 222,750 = 222,750 : x
  2. Step 2: Convert to fraction form
    147,690/222,750 = 222,750/x
  3. Step 3: Cross multiply
    147,690x = 222,750 × 222,750
  4. Step 4: Simplify right side
    147,690x = 49,617,562,500
  5. Step 5: Solve for x
    x = 49,617,562,500/147,690
  6. Step 6: Final answer
    x = 335,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.