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Finding the Third Proportional to 188,865 and 264,037

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Solution

The third proportional to 188,865 and 264,037 is: 369,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,865 : 264,037 = 264,037 : x
  2. Step 2: Convert to fraction form
    188,865/264,037 = 264,037/x
  3. Step 3: Cross multiply
    188,865x = 264,037 × 264,037
  4. Step 4: Simplify right side
    188,865x = 69,715,537,369
  5. Step 5: Solve for x
    x = 69,715,537,369/188,865
  6. Step 6: Final answer
    x = 369,128.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.