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Finding the Third Proportional to 163,078.31 and 229,650.19

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Solution

The third proportional to 163,078.31 and 229,650.19 is: 323,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,078.31 : 229,650.19 = 229,650.19 : x
  2. Step 2: Convert to fraction form
    163,078.31/229,650.19 = 229,650.19/x
  3. Step 3: Cross multiply
    163,078.31x = 229,650.19 × 229,650.19
  4. Step 4: Simplify right side
    163,078.31x = 52,739,208,618.79
  5. Step 5: Solve for x
    x = 52,739,208,618.79/163,078.31
  6. Step 6: Final answer
    x = 323,398.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.