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Finding the Third Proportional to 191,732 and 403,336

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Solution

The third proportional to 191,732 and 403,336 is: 848,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,732 : 403,336 = 403,336 : x
  2. Step 2: Convert to fraction form
    191,732/403,336 = 403,336/x
  3. Step 3: Cross multiply
    191,732x = 403,336 × 403,336
  4. Step 4: Simplify right side
    191,732x = 162,679,928,896
  5. Step 5: Solve for x
    x = 162,679,928,896/191,732
  6. Step 6: Final answer
    x = 848,475.63

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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.