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Finding the Third Proportional to 117,360 and 167,220

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Solution

The third proportional to 117,360 and 167,220 is: 238,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,360 : 167,220 = 167,220 : x
  2. Step 2: Convert to fraction form
    117,360/167,220 = 167,220/x
  3. Step 3: Cross multiply
    117,360x = 167,220 × 167,220
  4. Step 4: Simplify right side
    117,360x = 27,962,528,400
  5. Step 5: Solve for x
    x = 27,962,528,400/117,360
  6. Step 6: Final answer
    x = 238,262.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.