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Finding the Third Proportional to 147,664.50 and 227,247.75

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Solution

The third proportional to 147,664.50 and 227,247.75 is: 349,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,664.50 : 227,247.75 = 227,247.75 : x
  2. Step 2: Convert to fraction form
    147,664.50/227,247.75 = 227,247.75/x
  3. Step 3: Cross multiply
    147,664.50x = 227,247.75 × 227,247.75
  4. Step 4: Simplify right side
    147,664.50x = 51,641,539,880.06
  5. Step 5: Solve for x
    x = 51,641,539,880.06/147,664.50
  6. Step 6: Final answer
    x = 349,722.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.