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Finding the Third Proportional to 163,815.75 and 247,227.19

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Solution

The third proportional to 163,815.75 and 247,227.19 is: 373,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,815.75 : 247,227.19 = 247,227.19 : x
  2. Step 2: Convert to fraction form
    163,815.75/247,227.19 = 247,227.19/x
  3. Step 3: Cross multiply
    163,815.75x = 247,227.19 × 247,227.19
  4. Step 4: Simplify right side
    163,815.75x = 61,121,282,239.16
  5. Step 5: Solve for x
    x = 61,121,282,239.16/163,815.75
  6. Step 6: Final answer
    x = 373,109.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.