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Finding the Third Proportional to 113,291 and 264,596

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Solution

The third proportional to 113,291 and 264,596 is: 617,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,291 : 264,596 = 264,596 : x
  2. Step 2: Convert to fraction form
    113,291/264,596 = 264,596/x
  3. Step 3: Cross multiply
    113,291x = 264,596 × 264,596
  4. Step 4: Simplify right side
    113,291x = 70,011,043,216
  5. Step 5: Solve for x
    x = 70,011,043,216/113,291
  6. Step 6: Final answer
    x = 617,975.33

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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.