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Finding the Third Proportional to 191,635 and 403,132

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Solution

The third proportional to 191,635 and 403,132 is: 848,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,635 : 403,132 = 403,132 : x
  2. Step 2: Convert to fraction form
    191,635/403,132 = 403,132/x
  3. Step 3: Cross multiply
    191,635x = 403,132 × 403,132
  4. Step 4: Simplify right side
    191,635x = 162,515,409,424
  5. Step 5: Solve for x
    x = 162,515,409,424/191,635
  6. Step 6: Final answer
    x = 848,046.60

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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.