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Finding the Third Proportional to 160,509 and 248,879

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Solution

The third proportional to 160,509 and 248,879 is: 385,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,509 : 248,879 = 248,879 : x
  2. Step 2: Convert to fraction form
    160,509/248,879 = 248,879/x
  3. Step 3: Cross multiply
    160,509x = 248,879 × 248,879
  4. Step 4: Simplify right side
    160,509x = 61,940,756,641
  5. Step 5: Solve for x
    x = 61,940,756,641/160,509
  6. Step 6: Final answer
    x = 385,902.08

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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.