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Finding the Third Proportional to 191,938 and 413,037

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Solution

The third proportional to 191,938 and 413,037 is: 888,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,938 : 413,037 = 413,037 : x
  2. Step 2: Convert to fraction form
    191,938/413,037 = 413,037/x
  3. Step 3: Cross multiply
    191,938x = 413,037 × 413,037
  4. Step 4: Simplify right side
    191,938x = 170,599,563,369
  5. Step 5: Solve for x
    x = 170,599,563,369/191,938
  6. Step 6: Final answer
    x = 888,826.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.