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Finding the Third Proportional to 115,098 and 238,188

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Solution

The third proportional to 115,098 and 238,188 is: 492,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,098 : 238,188 = 238,188 : x
  2. Step 2: Convert to fraction form
    115,098/238,188 = 238,188/x
  3. Step 3: Cross multiply
    115,098x = 238,188 × 238,188
  4. Step 4: Simplify right side
    115,098x = 56,733,523,344
  5. Step 5: Solve for x
    x = 56,733,523,344/115,098
  6. Step 6: Final answer
    x = 492,914.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.