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Finding the Third Proportional to 191,615 and 403,074

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Solution

The third proportional to 191,615 and 403,074 is: 847,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,615 : 403,074 = 403,074 : x
  2. Step 2: Convert to fraction form
    191,615/403,074 = 403,074/x
  3. Step 3: Cross multiply
    191,615x = 403,074 × 403,074
  4. Step 4: Simplify right side
    191,615x = 162,468,649,476
  5. Step 5: Solve for x
    x = 162,468,649,476/191,615
  6. Step 6: Final answer
    x = 847,891.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.