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Finding the Third Proportional to 175,183.31 and 242,677.69

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Solution

The third proportional to 175,183.31 and 242,677.69 is: 336,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,183.31 : 242,677.69 = 242,677.69 : x
  2. Step 2: Convert to fraction form
    175,183.31/242,677.69 = 242,677.69/x
  3. Step 3: Cross multiply
    175,183.31x = 242,677.69 × 242,677.69
  4. Step 4: Simplify right side
    175,183.31x = 58,892,460,010.35
  5. Step 5: Solve for x
    x = 58,892,460,010.35/175,183.31
  6. Step 6: Final answer
    x = 336,176.20

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Why These Related Problems?

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