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Finding the Third Proportional to 175,168.50 and 242,655

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Solution

The third proportional to 175,168.50 and 242,655 is: 336,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,168.50 : 242,655 = 242,655 : x
  2. Step 2: Convert to fraction form
    175,168.50/242,655 = 242,655/x
  3. Step 3: Cross multiply
    175,168.50x = 242,655 × 242,655
  4. Step 4: Simplify right side
    175,168.50x = 58,881,449,025
  5. Step 5: Solve for x
    x = 58,881,449,025/175,168.50
  6. Step 6: Final answer
    x = 336,141.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.