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Finding the Third Proportional to 191,356 and 419,192

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Solution

The third proportional to 191,356 and 419,192 is: 918,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,356 : 419,192 = 419,192 : x
  2. Step 2: Convert to fraction form
    191,356/419,192 = 419,192/x
  3. Step 3: Cross multiply
    191,356x = 419,192 × 419,192
  4. Step 4: Simplify right side
    191,356x = 175,721,932,864
  5. Step 5: Solve for x
    x = 175,721,932,864/191,356
  6. Step 6: Final answer
    x = 918,298.53

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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.