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Finding the Third Proportional to 133,314 and 187,497

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Solution

The third proportional to 133,314 and 187,497 is: 263,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,314 : 187,497 = 187,497 : x
  2. Step 2: Convert to fraction form
    133,314/187,497 = 187,497/x
  3. Step 3: Cross multiply
    133,314x = 187,497 × 187,497
  4. Step 4: Simplify right side
    133,314x = 35,155,125,009
  5. Step 5: Solve for x
    x = 35,155,125,009/133,314
  6. Step 6: Final answer
    x = 263,701.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.