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Finding the Third Proportional to 191,336 and 417,116

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Solution

The third proportional to 191,336 and 417,116 is: 909,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,336 : 417,116 = 417,116 : x
  2. Step 2: Convert to fraction form
    191,336/417,116 = 417,116/x
  3. Step 3: Cross multiply
    191,336x = 417,116 × 417,116
  4. Step 4: Simplify right side
    191,336x = 173,985,757,456
  5. Step 5: Solve for x
    x = 173,985,757,456/191,336
  6. Step 6: Final answer
    x = 909,320.55

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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.