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Finding the Third Proportional to 134,472 and 196,652

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Solution

The third proportional to 134,472 and 196,652 is: 287,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,472 : 196,652 = 196,652 : x
  2. Step 2: Convert to fraction form
    134,472/196,652 = 196,652/x
  3. Step 3: Cross multiply
    134,472x = 196,652 × 196,652
  4. Step 4: Simplify right side
    134,472x = 38,672,009,104
  5. Step 5: Solve for x
    x = 38,672,009,104/134,472
  6. Step 6: Final answer
    x = 287,584.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.