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Finding the Third Proportional to 117,489 and 167,485.50

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Solution

The third proportional to 117,489 and 167,485.50 is: 238,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,489 : 167,485.50 = 167,485.50 : x
  2. Step 2: Convert to fraction form
    117,489/167,485.50 = 167,485.50/x
  3. Step 3: Cross multiply
    117,489x = 167,485.50 × 167,485.50
  4. Step 4: Simplify right side
    117,489x = 28,051,392,710.25
  5. Step 5: Solve for x
    x = 28,051,392,710.25/117,489
  6. Step 6: Final answer
    x = 238,757.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.