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Finding the Third Proportional to 86,834 and 190,309

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Solution

The third proportional to 86,834 and 190,309 is: 417,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,834 : 190,309 = 190,309 : x
  2. Step 2: Convert to fraction form
    86,834/190,309 = 190,309/x
  3. Step 3: Cross multiply
    86,834x = 190,309 × 190,309
  4. Step 4: Simplify right side
    86,834x = 36,217,515,481
  5. Step 5: Solve for x
    x = 36,217,515,481/86,834
  6. Step 6: Final answer
    x = 417,089.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.