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Finding the Third Proportional to 154,016 and 207,648

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Solution

The third proportional to 154,016 and 207,648 is: 279,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,016 : 207,648 = 207,648 : x
  2. Step 2: Convert to fraction form
    154,016/207,648 = 207,648/x
  3. Step 3: Cross multiply
    154,016x = 207,648 × 207,648
  4. Step 4: Simplify right side
    154,016x = 43,117,691,904
  5. Step 5: Solve for x
    x = 43,117,691,904/154,016
  6. Step 6: Final answer
    x = 279,955.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.