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Finding the Third Proportional to 191,654 and 403,168

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Solution

The third proportional to 191,654 and 403,168 is: 848,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,654 : 403,168 = 403,168 : x
  2. Step 2: Convert to fraction form
    191,654/403,168 = 403,168/x
  3. Step 3: Cross multiply
    191,654x = 403,168 × 403,168
  4. Step 4: Simplify right side
    191,654x = 162,544,436,224
  5. Step 5: Solve for x
    x = 162,544,436,224/191,654
  6. Step 6: Final answer
    x = 848,113.98

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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.