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Finding the Third Proportional to 191,026 and 415,224

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Solution

The third proportional to 191,026 and 415,224 is: 902,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,026 : 415,224 = 415,224 : x
  2. Step 2: Convert to fraction form
    191,026/415,224 = 415,224/x
  3. Step 3: Cross multiply
    191,026x = 415,224 × 415,224
  4. Step 4: Simplify right side
    191,026x = 172,410,970,176
  5. Step 5: Solve for x
    x = 172,410,970,176/191,026
  6. Step 6: Final answer
    x = 902,552.38

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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.