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Finding the Third Proportional to 158,096 and 241,160

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Solution

The third proportional to 158,096 and 241,160 is: 367,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,096 : 241,160 = 241,160 : x
  2. Step 2: Convert to fraction form
    158,096/241,160 = 241,160/x
  3. Step 3: Cross multiply
    158,096x = 241,160 × 241,160
  4. Step 4: Simplify right side
    158,096x = 58,158,145,600
  5. Step 5: Solve for x
    x = 58,158,145,600/158,096
  6. Step 6: Final answer
    x = 367,866.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.