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Finding the Third Proportional to 112,743.50 and 234,816

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Solution

The third proportional to 112,743.50 and 234,816 is: 489,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,743.50 : 234,816 = 234,816 : x
  2. Step 2: Convert to fraction form
    112,743.50/234,816 = 234,816/x
  3. Step 3: Cross multiply
    112,743.50x = 234,816 × 234,816
  4. Step 4: Simplify right side
    112,743.50x = 55,138,553,856
  5. Step 5: Solve for x
    x = 55,138,553,856/112,743.50
  6. Step 6: Final answer
    x = 489,061.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.