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Finding the Third Proportional to 119,000 and 191,334

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Solution

The third proportional to 119,000 and 191,334 is: 307,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,000 : 191,334 = 191,334 : x
  2. Step 2: Convert to fraction form
    119,000/191,334 = 191,334/x
  3. Step 3: Cross multiply
    119,000x = 191,334 × 191,334
  4. Step 4: Simplify right side
    119,000x = 36,608,699,556
  5. Step 5: Solve for x
    x = 36,608,699,556/119,000
  6. Step 6: Final answer
    x = 307,636.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.