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Finding the Third Proportional to 160,480.69 and 248,355.84

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Solution

The third proportional to 160,480.69 and 248,355.84 is: 384,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,480.69 : 248,355.84 = 248,355.84 : x
  2. Step 2: Convert to fraction form
    160,480.69/248,355.84 = 248,355.84/x
  3. Step 3: Cross multiply
    160,480.69x = 248,355.84 × 248,355.84
  4. Step 4: Simplify right side
    160,480.69x = 61,680,625,124.77
  5. Step 5: Solve for x
    x = 61,680,625,124.77/160,480.69
  6. Step 6: Final answer
    x = 384,349.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.