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Finding the Third Proportional to 162,826.31 and 232,629.19

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Solution

The third proportional to 162,826.31 and 232,629.19 is: 332,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,826.31 : 232,629.19 = 232,629.19 : x
  2. Step 2: Convert to fraction form
    162,826.31/232,629.19 = 232,629.19/x
  3. Step 3: Cross multiply
    162,826.31x = 232,629.19 × 232,629.19
  4. Step 4: Simplify right side
    162,826.31x = 54,116,338,876.91
  5. Step 5: Solve for x
    x = 54,116,338,876.91/162,826.31
  6. Step 6: Final answer
    x = 332,356.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.