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Finding the Third Proportional to 191,340 and 417,126

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Solution

The third proportional to 191,340 and 417,126 is: 909,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,340 : 417,126 = 417,126 : x
  2. Step 2: Convert to fraction form
    191,340/417,126 = 417,126/x
  3. Step 3: Cross multiply
    191,340x = 417,126 × 417,126
  4. Step 4: Simplify right side
    191,340x = 173,994,099,876
  5. Step 5: Solve for x
    x = 173,994,099,876/191,340
  6. Step 6: Final answer
    x = 909,345.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.