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Finding the Third Proportional to 191,392 and 415,957

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Solution

The third proportional to 191,392 and 415,957 is: 904,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,392 : 415,957 = 415,957 : x
  2. Step 2: Convert to fraction form
    191,392/415,957 = 415,957/x
  3. Step 3: Cross multiply
    191,392x = 415,957 × 415,957
  4. Step 4: Simplify right side
    191,392x = 173,020,225,849
  5. Step 5: Solve for x
    x = 173,020,225,849/191,392
  6. Step 6: Final answer
    x = 904,009.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.