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Finding the Third Proportional to 113,289 and 264,591

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Solution

The third proportional to 113,289 and 264,591 is: 617,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,289 : 264,591 = 264,591 : x
  2. Step 2: Convert to fraction form
    113,289/264,591 = 264,591/x
  3. Step 3: Cross multiply
    113,289x = 264,591 × 264,591
  4. Step 4: Simplify right side
    113,289x = 70,008,397,281
  5. Step 5: Solve for x
    x = 70,008,397,281/113,289
  6. Step 6: Final answer
    x = 617,962.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.