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Finding the Third Proportional to 167,580 and 359,148

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Solution

The third proportional to 167,580 and 359,148 is: 769,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,580 : 359,148 = 359,148 : x
  2. Step 2: Convert to fraction form
    167,580/359,148 = 359,148/x
  3. Step 3: Cross multiply
    167,580x = 359,148 × 359,148
  4. Step 4: Simplify right side
    167,580x = 128,987,285,904
  5. Step 5: Solve for x
    x = 128,987,285,904/167,580
  6. Step 6: Final answer
    x = 769,705.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.