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Finding the Third Proportional to 167,286 and 360,840

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Solution

The third proportional to 167,286 and 360,840 is: 778,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,286 : 360,840 = 360,840 : x
  2. Step 2: Convert to fraction form
    167,286/360,840 = 360,840/x
  3. Step 3: Cross multiply
    167,286x = 360,840 × 360,840
  4. Step 4: Simplify right side
    167,286x = 130,205,505,600
  5. Step 5: Solve for x
    x = 130,205,505,600/167,286
  6. Step 6: Final answer
    x = 778,340.72

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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.