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Finding the Third Proportional to 191,729 and 403,289.50

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Solution

The third proportional to 191,729 and 403,289.50 is: 848,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,729 : 403,289.50 = 403,289.50 : x
  2. Step 2: Convert to fraction form
    191,729/403,289.50 = 403,289.50/x
  3. Step 3: Cross multiply
    191,729x = 403,289.50 × 403,289.50
  4. Step 4: Simplify right side
    191,729x = 162,642,420,810.25
  5. Step 5: Solve for x
    x = 162,642,420,810.25/191,729
  6. Step 6: Final answer
    x = 848,293.27

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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.