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Finding the Third Proportional to 191,709 and 403,249.50

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Solution

The third proportional to 191,709 and 403,249.50 is: 848,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,709 : 403,249.50 = 403,249.50 : x
  2. Step 2: Convert to fraction form
    191,709/403,249.50 = 403,249.50/x
  3. Step 3: Cross multiply
    191,709x = 403,249.50 × 403,249.50
  4. Step 4: Simplify right side
    191,709x = 162,610,159,250.25
  5. Step 5: Solve for x
    x = 162,610,159,250.25/191,709
  6. Step 6: Final answer
    x = 848,213.49

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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.