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Finding the Third Proportional to 242,238.94 and 371,833.88

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Solution

The third proportional to 242,238.94 and 371,833.88 is: 570,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238.94 : 371,833.88 = 371,833.88 : x
  2. Step 2: Convert to fraction form
    242,238.94/371,833.88 = 371,833.88/x
  3. Step 3: Cross multiply
    242,238.94x = 371,833.88 × 371,833.88
  4. Step 4: Simplify right side
    242,238.94x = 138,260,430,597.52
  5. Step 5: Solve for x
    x = 138,260,430,597.52/242,238.94
  6. Step 6: Final answer
    x = 570,760.56

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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.