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Finding the Third Proportional to 161,370 and 248,858

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Solution

The third proportional to 161,370 and 248,858 is: 383,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,370 : 248,858 = 248,858 : x
  2. Step 2: Convert to fraction form
    161,370/248,858 = 248,858/x
  3. Step 3: Cross multiply
    161,370x = 248,858 × 248,858
  4. Step 4: Simplify right side
    161,370x = 61,930,304,164
  5. Step 5: Solve for x
    x = 61,930,304,164/161,370
  6. Step 6: Final answer
    x = 383,778.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.