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Finding the Third Proportional to 133,168 and 197,754

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Solution

The third proportional to 133,168 and 197,754 is: 293,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,168 : 197,754 = 197,754 : x
  2. Step 2: Convert to fraction form
    133,168/197,754 = 197,754/x
  3. Step 3: Cross multiply
    133,168x = 197,754 × 197,754
  4. Step 4: Simplify right side
    133,168x = 39,106,644,516
  5. Step 5: Solve for x
    x = 39,106,644,516/133,168
  6. Step 6: Final answer
    x = 293,663.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.