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Finding the Third Proportional to 191,023 and 415,215

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Solution

The third proportional to 191,023 and 415,215 is: 902,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,023 : 415,215 = 415,215 : x
  2. Step 2: Convert to fraction form
    191,023/415,215 = 415,215/x
  3. Step 3: Cross multiply
    191,023x = 415,215 × 415,215
  4. Step 4: Simplify right side
    191,023x = 172,403,496,225
  5. Step 5: Solve for x
    x = 172,403,496,225/191,023
  6. Step 6: Final answer
    x = 902,527.42

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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.