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Finding the Third Proportional to 191,738 and 403,308

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Solution

The third proportional to 191,738 and 403,308 is: 848,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,738 : 403,308 = 403,308 : x
  2. Step 2: Convert to fraction form
    191,738/403,308 = 403,308/x
  3. Step 3: Cross multiply
    191,738x = 403,308 × 403,308
  4. Step 4: Simplify right side
    191,738x = 162,657,342,864
  5. Step 5: Solve for x
    x = 162,657,342,864/191,738
  6. Step 6: Final answer
    x = 848,331.28

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