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Finding the Third Proportional to 167,580 and 352,396

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Solution

The third proportional to 167,580 and 352,396 is: 741,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,580 : 352,396 = 352,396 : x
  2. Step 2: Convert to fraction form
    167,580/352,396 = 352,396/x
  3. Step 3: Cross multiply
    167,580x = 352,396 × 352,396
  4. Step 4: Simplify right side
    167,580x = 124,182,940,816
  5. Step 5: Solve for x
    x = 124,182,940,816/167,580
  6. Step 6: Final answer
    x = 741,036.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.