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Finding the Third Proportional to 147,955.50 and 225,621

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Solution

The third proportional to 147,955.50 and 225,621 is: 344,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,955.50 : 225,621 = 225,621 : x
  2. Step 2: Convert to fraction form
    147,955.50/225,621 = 225,621/x
  3. Step 3: Cross multiply
    147,955.50x = 225,621 × 225,621
  4. Step 4: Simplify right side
    147,955.50x = 50,904,835,641
  5. Step 5: Solve for x
    x = 50,904,835,641/147,955.50
  6. Step 6: Final answer
    x = 344,055.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.