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Finding the Third Proportional to 132,024.94 and 288,243.56

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Solution

The third proportional to 132,024.94 and 288,243.56 is: 629,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024.94 : 288,243.56 = 288,243.56 : x
  2. Step 2: Convert to fraction form
    132,024.94/288,243.56 = 288,243.56/x
  3. Step 3: Cross multiply
    132,024.94x = 288,243.56 × 288,243.56
  4. Step 4: Simplify right side
    132,024.94x = 83,084,351,322.69
  5. Step 5: Solve for x
    x = 83,084,351,322.69/132,024.94
  6. Step 6: Final answer
    x = 629,308.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.