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Finding the Third Proportional to 191,583 and 281,806.50

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Solution

The third proportional to 191,583 and 281,806.50 is: 414,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,583 : 281,806.50 = 281,806.50 : x
  2. Step 2: Convert to fraction form
    191,583/281,806.50 = 281,806.50/x
  3. Step 3: Cross multiply
    191,583x = 281,806.50 × 281,806.50
  4. Step 4: Simplify right side
    191,583x = 79,414,903,442.25
  5. Step 5: Solve for x
    x = 79,414,903,442.25/191,583
  6. Step 6: Final answer
    x = 414,519.57

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Why These Related Problems?

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