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Finding the Third Proportional to 175,162.50 and 362,781

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Solution

The third proportional to 175,162.50 and 362,781 is: 751,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,162.50 : 362,781 = 362,781 : x
  2. Step 2: Convert to fraction form
    175,162.50/362,781 = 362,781/x
  3. Step 3: Cross multiply
    175,162.50x = 362,781 × 362,781
  4. Step 4: Simplify right side
    175,162.50x = 131,610,053,961
  5. Step 5: Solve for x
    x = 131,610,053,961/175,162.50
  6. Step 6: Final answer
    x = 751,359.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.