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Finding the Third Proportional to 160,949 and 232,135

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Solution

The third proportional to 160,949 and 232,135 is: 334,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,949 : 232,135 = 232,135 : x
  2. Step 2: Convert to fraction form
    160,949/232,135 = 232,135/x
  3. Step 3: Cross multiply
    160,949x = 232,135 × 232,135
  4. Step 4: Simplify right side
    160,949x = 53,886,658,225
  5. Step 5: Solve for x
    x = 53,886,658,225/160,949
  6. Step 6: Final answer
    x = 334,805.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.