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Finding the Third Proportional to 147,276.51 and 225,198.35

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Solution

The third proportional to 147,276.51 and 225,198.35 is: 344,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,276.51 : 225,198.35 = 225,198.35 : x
  2. Step 2: Convert to fraction form
    147,276.51/225,198.35 = 225,198.35/x
  3. Step 3: Cross multiply
    147,276.51x = 225,198.35 × 225,198.35
  4. Step 4: Simplify right side
    147,276.51x = 50,714,297,546.47
  5. Step 5: Solve for x
    x = 50,714,297,546.47/147,276.51
  6. Step 6: Final answer
    x = 344,347.50

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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.