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Finding the Third Proportional to 264,108 and 358,846

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Solution

The third proportional to 264,108 and 358,846 is: 487,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,108 : 358,846 = 358,846 : x
  2. Step 2: Convert to fraction form
    264,108/358,846 = 358,846/x
  3. Step 3: Cross multiply
    264,108x = 358,846 × 358,846
  4. Step 4: Simplify right side
    264,108x = 128,770,451,716
  5. Step 5: Solve for x
    x = 128,770,451,716/264,108
  6. Step 6: Final answer
    x = 487,567.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.