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Finding the Third Proportional to 191,974.50 and 264,633

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Solution

The third proportional to 191,974.50 and 264,633 is: 364,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,974.50 : 264,633 = 264,633 : x
  2. Step 2: Convert to fraction form
    191,974.50/264,633 = 264,633/x
  3. Step 3: Cross multiply
    191,974.50x = 264,633 × 264,633
  4. Step 4: Simplify right side
    191,974.50x = 70,030,624,689
  5. Step 5: Solve for x
    x = 70,030,624,689/191,974.50
  6. Step 6: Final answer
    x = 364,791.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.