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Finding the Third Proportional to 242,665.88 and 367,393.22

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Solution

The third proportional to 242,665.88 and 367,393.22 is: 556,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,665.88 : 367,393.22 = 367,393.22 : x
  2. Step 2: Convert to fraction form
    242,665.88/367,393.22 = 367,393.22/x
  3. Step 3: Cross multiply
    242,665.88x = 367,393.22 × 367,393.22
  4. Step 4: Simplify right side
    242,665.88x = 134,977,777,183.49
  5. Step 5: Solve for x
    x = 134,977,777,183.49/242,665.88
  6. Step 6: Final answer
    x = 556,228.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.