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Finding the Third Proportional to 242,240.63 and 371,835.56

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Solution

The third proportional to 242,240.63 and 371,835.56 is: 570,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,240.63 : 371,835.56 = 371,835.56 : x
  2. Step 2: Convert to fraction form
    242,240.63/371,835.56 = 371,835.56/x
  3. Step 3: Cross multiply
    242,240.63x = 371,835.56 × 371,835.56
  4. Step 4: Simplify right side
    242,240.63x = 138,261,685,539.69
  5. Step 5: Solve for x
    x = 138,261,685,539.69/242,240.63
  6. Step 6: Final answer
    x = 570,761.76

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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.