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Finding the Third Proportional to 191,026.50 and 415,221

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Solution

The third proportional to 191,026.50 and 415,221 is: 902,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,026.50 : 415,221 = 415,221 : x
  2. Step 2: Convert to fraction form
    191,026.50/415,221 = 415,221/x
  3. Step 3: Cross multiply
    191,026.50x = 415,221 × 415,221
  4. Step 4: Simplify right side
    191,026.50x = 172,408,478,841
  5. Step 5: Solve for x
    x = 172,408,478,841/191,026.50
  6. Step 6: Final answer
    x = 902,536.97

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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.