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Finding the Third Proportional to 151,440 and 235,162

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Solution

The third proportional to 151,440 and 235,162 is: 365,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,440 : 235,162 = 235,162 : x
  2. Step 2: Convert to fraction form
    151,440/235,162 = 235,162/x
  3. Step 3: Cross multiply
    151,440x = 235,162 × 235,162
  4. Step 4: Simplify right side
    151,440x = 55,301,166,244
  5. Step 5: Solve for x
    x = 55,301,166,244/151,440
  6. Step 6: Final answer
    x = 365,168.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.