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Finding the Third Proportional to 191,721.50 and 403,269

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Solution

The third proportional to 191,721.50 and 403,269 is: 848,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,721.50 : 403,269 = 403,269 : x
  2. Step 2: Convert to fraction form
    191,721.50/403,269 = 403,269/x
  3. Step 3: Cross multiply
    191,721.50x = 403,269 × 403,269
  4. Step 4: Simplify right side
    191,721.50x = 162,625,886,361
  5. Step 5: Solve for x
    x = 162,625,886,361/191,721.50
  6. Step 6: Final answer
    x = 848,240.21

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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.