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Finding the Third Proportional to 191,551.50 and 289,993.50

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Solution

The third proportional to 191,551.50 and 289,993.50 is: 439,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,551.50 : 289,993.50 = 289,993.50 : x
  2. Step 2: Convert to fraction form
    191,551.50/289,993.50 = 289,993.50/x
  3. Step 3: Cross multiply
    191,551.50x = 289,993.50 × 289,993.50
  4. Step 4: Simplify right side
    191,551.50x = 84,096,230,042.25
  5. Step 5: Solve for x
    x = 84,096,230,042.25/191,551.50
  6. Step 6: Final answer
    x = 439,026.74

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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.