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Finding the Third Proportional to 187,652.50 and 382,945

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Solution

The third proportional to 187,652.50 and 382,945 is: 781,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,652.50 : 382,945 = 382,945 : x
  2. Step 2: Convert to fraction form
    187,652.50/382,945 = 382,945/x
  3. Step 3: Cross multiply
    187,652.50x = 382,945 × 382,945
  4. Step 4: Simplify right side
    187,652.50x = 146,646,873,025
  5. Step 5: Solve for x
    x = 146,646,873,025/187,652.50
  6. Step 6: Final answer
    x = 781,481.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.