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Finding the Third Proportional to 160,344 and 248,511

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Solution

The third proportional to 160,344 and 248,511 is: 385,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,344 : 248,511 = 248,511 : x
  2. Step 2: Convert to fraction form
    160,344/248,511 = 248,511/x
  3. Step 3: Cross multiply
    160,344x = 248,511 × 248,511
  4. Step 4: Simplify right side
    160,344x = 61,757,717,121
  5. Step 5: Solve for x
    x = 61,757,717,121/160,344
  6. Step 6: Final answer
    x = 385,157.64

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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.