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Finding the Third Proportional to 161,588 and 248,048

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Solution

The third proportional to 161,588 and 248,048 is: 380,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,588 : 248,048 = 248,048 : x
  2. Step 2: Convert to fraction form
    161,588/248,048 = 248,048/x
  3. Step 3: Cross multiply
    161,588x = 248,048 × 248,048
  4. Step 4: Simplify right side
    161,588x = 61,527,810,304
  5. Step 5: Solve for x
    x = 61,527,810,304/161,588
  6. Step 6: Final answer
    x = 380,769.68

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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.