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Finding the Third Proportional to 191,613 and 415,826

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Solution

The third proportional to 191,613 and 415,826 is: 902,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,613 : 415,826 = 415,826 : x
  2. Step 2: Convert to fraction form
    191,613/415,826 = 415,826/x
  3. Step 3: Cross multiply
    191,613x = 415,826 × 415,826
  4. Step 4: Simplify right side
    191,613x = 172,911,262,276
  5. Step 5: Solve for x
    x = 172,911,262,276/191,613
  6. Step 6: Final answer
    x = 902,398.39

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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.