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Finding the Third Proportional to 147,308.88 and 225,243.63

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Solution

The third proportional to 147,308.88 and 225,243.63 is: 344,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,308.88 : 225,243.63 = 225,243.63 : x
  2. Step 2: Convert to fraction form
    147,308.88/225,243.63 = 225,243.63/x
  3. Step 3: Cross multiply
    147,308.88x = 225,243.63 × 225,243.63
  4. Step 4: Simplify right side
    147,308.88x = 50,734,690,603.14
  5. Step 5: Solve for x
    x = 50,734,690,603.14/147,308.88
  6. Step 6: Final answer
    x = 344,410.28

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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.