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Finding the Third Proportional to 133,768 and 199,998

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Solution

The third proportional to 133,768 and 199,998 is: 299,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768 : 199,998 = 199,998 : x
  2. Step 2: Convert to fraction form
    133,768/199,998 = 199,998/x
  3. Step 3: Cross multiply
    133,768x = 199,998 × 199,998
  4. Step 4: Simplify right side
    133,768x = 39,999,200,004
  5. Step 5: Solve for x
    x = 39,999,200,004/133,768
  6. Step 6: Final answer
    x = 299,019.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.