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Finding the Third Proportional to 199,656 and 265,788

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Solution

The third proportional to 199,656 and 265,788 is: 353,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,656 : 265,788 = 265,788 : x
  2. Step 2: Convert to fraction form
    199,656/265,788 = 265,788/x
  3. Step 3: Cross multiply
    199,656x = 265,788 × 265,788
  4. Step 4: Simplify right side
    199,656x = 70,643,260,944
  5. Step 5: Solve for x
    x = 70,643,260,944/199,656
  6. Step 6: Final answer
    x = 353,824.88

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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.