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Finding the Third Proportional to 151,237 and 232,142

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Solution

The third proportional to 151,237 and 232,142 is: 356,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,237 : 232,142 = 232,142 : x
  2. Step 2: Convert to fraction form
    151,237/232,142 = 232,142/x
  3. Step 3: Cross multiply
    151,237x = 232,142 × 232,142
  4. Step 4: Simplify right side
    151,237x = 53,889,908,164
  5. Step 5: Solve for x
    x = 53,889,908,164/151,237
  6. Step 6: Final answer
    x = 356,327.54

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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.