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Finding the Third Proportional to 167,284 and 360,836

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Solution

The third proportional to 167,284 and 360,836 is: 778,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,284 : 360,836 = 360,836 : x
  2. Step 2: Convert to fraction form
    167,284/360,836 = 360,836/x
  3. Step 3: Cross multiply
    167,284x = 360,836 × 360,836
  4. Step 4: Simplify right side
    167,284x = 130,202,618,896
  5. Step 5: Solve for x
    x = 130,202,618,896/167,284
  6. Step 6: Final answer
    x = 778,332.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.