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Finding the Third Proportional to 191,707 and 403,244

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Solution

The third proportional to 191,707 and 403,244 is: 848,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,707 : 403,244 = 403,244 : x
  2. Step 2: Convert to fraction form
    191,707/403,244 = 403,244/x
  3. Step 3: Cross multiply
    191,707x = 403,244 × 403,244
  4. Step 4: Simplify right side
    191,707x = 162,605,723,536
  5. Step 5: Solve for x
    x = 162,605,723,536/191,707
  6. Step 6: Final answer
    x = 848,199.20

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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.