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Finding the Third Proportional to 160,496 and 248,392

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Solution

The third proportional to 160,496 and 248,392 is: 384,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,496 : 248,392 = 248,392 : x
  2. Step 2: Convert to fraction form
    160,496/248,392 = 248,392/x
  3. Step 3: Cross multiply
    160,496x = 248,392 × 248,392
  4. Step 4: Simplify right side
    160,496x = 61,698,585,664
  5. Step 5: Solve for x
    x = 61,698,585,664/160,496
  6. Step 6: Final answer
    x = 384,424.44

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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.