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Finding the Third Proportional to 161,564 and 248,000

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Solution

The third proportional to 161,564 and 248,000 is: 380,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,564 : 248,000 = 248,000 : x
  2. Step 2: Convert to fraction form
    161,564/248,000 = 248,000/x
  3. Step 3: Cross multiply
    161,564x = 248,000 × 248,000
  4. Step 4: Simplify right side
    161,564x = 61,504,000,000
  5. Step 5: Solve for x
    x = 61,504,000,000/161,564
  6. Step 6: Final answer
    x = 380,678.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.