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Finding the Third Proportional to 191,518.88 and 289,944.56

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Solution

The third proportional to 191,518.88 and 289,944.56 is: 438,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,518.88 : 289,944.56 = 289,944.56 : x
  2. Step 2: Convert to fraction form
    191,518.88/289,944.56 = 289,944.56/x
  3. Step 3: Cross multiply
    191,518.88x = 289,944.56 × 289,944.56
  4. Step 4: Simplify right side
    191,518.88x = 84,067,849,323.32
  5. Step 5: Solve for x
    x = 84,067,849,323.32/191,518.88
  6. Step 6: Final answer
    x = 438,953.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.