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Finding the Third Proportional to 191,845.13 and 319,722.19

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Solution

The third proportional to 191,845.13 and 319,722.19 is: 532,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,845.13 : 319,722.19 = 319,722.19 : x
  2. Step 2: Convert to fraction form
    191,845.13/319,722.19 = 319,722.19/x
  3. Step 3: Cross multiply
    191,845.13x = 319,722.19 × 319,722.19
  4. Step 4: Simplify right side
    191,845.13x = 102,222,277,179.79
  5. Step 5: Solve for x
    x = 102,222,277,179.79/191,845.13
  6. Step 6: Final answer
    x = 532,837.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.