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Finding the Third Proportional to 133,060 and 296,152

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Solution

The third proportional to 133,060 and 296,152 is: 659,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,060 : 296,152 = 296,152 : x
  2. Step 2: Convert to fraction form
    133,060/296,152 = 296,152/x
  3. Step 3: Cross multiply
    133,060x = 296,152 × 296,152
  4. Step 4: Simplify right side
    133,060x = 87,706,007,104
  5. Step 5: Solve for x
    x = 87,706,007,104/133,060
  6. Step 6: Final answer
    x = 659,146.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.