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Finding the Third Proportional to 147,062.25 and 226,145.25

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Solution

The third proportional to 147,062.25 and 226,145.25 is: 347,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,062.25 : 226,145.25 = 226,145.25 : x
  2. Step 2: Convert to fraction form
    147,062.25/226,145.25 = 226,145.25/x
  3. Step 3: Cross multiply
    147,062.25x = 226,145.25 × 226,145.25
  4. Step 4: Simplify right side
    147,062.25x = 51,141,674,097.56
  5. Step 5: Solve for x
    x = 51,141,674,097.56/147,062.25
  6. Step 6: Final answer
    x = 347,755.28

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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.