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Finding the Third Proportional to 160,251 and 232,108.50

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Solution

The third proportional to 160,251 and 232,108.50 is: 336,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,251 : 232,108.50 = 232,108.50 : x
  2. Step 2: Convert to fraction form
    160,251/232,108.50 = 232,108.50/x
  3. Step 3: Cross multiply
    160,251x = 232,108.50 × 232,108.50
  4. Step 4: Simplify right side
    160,251x = 53,874,355,772.25
  5. Step 5: Solve for x
    x = 53,874,355,772.25/160,251
  6. Step 6: Final answer
    x = 336,187.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.