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Finding the Third Proportional to 264,110 and 358,849

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Solution

The third proportional to 264,110 and 358,849 is: 487,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,110 : 358,849 = 358,849 : x
  2. Step 2: Convert to fraction form
    264,110/358,849 = 358,849/x
  3. Step 3: Cross multiply
    264,110x = 358,849 × 358,849
  4. Step 4: Simplify right side
    264,110x = 128,772,604,801
  5. Step 5: Solve for x
    x = 128,772,604,801/264,110
  6. Step 6: Final answer
    x = 487,571.86

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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.