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Finding the Third Proportional to 191,366 and 419,365

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Solution

The third proportional to 191,366 and 419,365 is: 919,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,366 : 419,365 = 419,365 : x
  2. Step 2: Convert to fraction form
    191,366/419,365 = 419,365/x
  3. Step 3: Cross multiply
    191,366x = 419,365 × 419,365
  4. Step 4: Simplify right side
    191,366x = 175,867,003,225
  5. Step 5: Solve for x
    x = 175,867,003,225/191,366
  6. Step 6: Final answer
    x = 919,008.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.