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Finding the Third Proportional to 178,542.56 and 242,208.56

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Solution

The third proportional to 178,542.56 and 242,208.56 is: 328,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,542.56 : 242,208.56 = 242,208.56 : x
  2. Step 2: Convert to fraction form
    178,542.56/242,208.56 = 242,208.56/x
  3. Step 3: Cross multiply
    178,542.56x = 242,208.56 × 242,208.56
  4. Step 4: Simplify right side
    178,542.56x = 58,664,987,748.32
  5. Step 5: Solve for x
    x = 58,664,987,748.32/178,542.56
  6. Step 6: Final answer
    x = 328,577.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.