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Finding the Third Proportional to 191,557 and 281,775

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Solution

The third proportional to 191,557 and 281,775 is: 414,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,557 : 281,775 = 281,775 : x
  2. Step 2: Convert to fraction form
    191,557/281,775 = 281,775/x
  3. Step 3: Cross multiply
    191,557x = 281,775 × 281,775
  4. Step 4: Simplify right side
    191,557x = 79,397,150,625
  5. Step 5: Solve for x
    x = 79,397,150,625/191,557
  6. Step 6: Final answer
    x = 414,483.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.