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Finding the Third Proportional to 191,632 and 403,110

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Solution

The third proportional to 191,632 and 403,110 is: 847,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,632 : 403,110 = 403,110 : x
  2. Step 2: Convert to fraction form
    191,632/403,110 = 403,110/x
  3. Step 3: Cross multiply
    191,632x = 403,110 × 403,110
  4. Step 4: Simplify right side
    191,632x = 162,497,672,100
  5. Step 5: Solve for x
    x = 162,497,672,100/191,632
  6. Step 6: Final answer
    x = 847,967.31

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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.