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Finding the Third Proportional to 149,904 and 199,552

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Solution

The third proportional to 149,904 and 199,552 is: 265,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,904 : 199,552 = 199,552 : x
  2. Step 2: Convert to fraction form
    149,904/199,552 = 199,552/x
  3. Step 3: Cross multiply
    149,904x = 199,552 × 199,552
  4. Step 4: Simplify right side
    149,904x = 39,821,000,704
  5. Step 5: Solve for x
    x = 39,821,000,704/149,904
  6. Step 6: Final answer
    x = 265,643.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.