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Finding the Third Proportional to 189,092 and 279,904

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Solution

The third proportional to 189,092 and 279,904 is: 414,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092 : 279,904 = 279,904 : x
  2. Step 2: Convert to fraction form
    189,092/279,904 = 279,904/x
  3. Step 3: Cross multiply
    189,092x = 279,904 × 279,904
  4. Step 4: Simplify right side
    189,092x = 78,346,249,216
  5. Step 5: Solve for x
    x = 78,346,249,216/189,092
  6. Step 6: Final answer
    x = 414,328.74

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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.