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Finding the Third Proportional to 163,285.31 and 247,389.19

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Solution

The third proportional to 163,285.31 and 247,389.19 is: 374,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,285.31 : 247,389.19 = 247,389.19 : x
  2. Step 2: Convert to fraction form
    163,285.31/247,389.19 = 247,389.19/x
  3. Step 3: Cross multiply
    163,285.31x = 247,389.19 × 247,389.19
  4. Step 4: Simplify right side
    163,285.31x = 61,201,410,091.91
  5. Step 5: Solve for x
    x = 61,201,410,091.91/163,285.31
  6. Step 6: Final answer
    x = 374,812.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.