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Finding the Third Proportional to 191,296.69 and 285,945.19

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Solution

The third proportional to 191,296.69 and 285,945.19 is: 427,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,296.69 : 285,945.19 = 285,945.19 : x
  2. Step 2: Convert to fraction form
    191,296.69/285,945.19 = 285,945.19/x
  3. Step 3: Cross multiply
    191,296.69x = 285,945.19 × 285,945.19
  4. Step 4: Simplify right side
    191,296.69x = 81,764,650,254.41
  5. Step 5: Solve for x
    x = 81,764,650,254.41/191,296.69
  6. Step 6: Final answer
    x = 427,423.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.