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Finding the Third Proportional to 120,591 and 265,239

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Solution

The third proportional to 120,591 and 265,239 is: 583,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,591 : 265,239 = 265,239 : x
  2. Step 2: Convert to fraction form
    120,591/265,239 = 265,239/x
  3. Step 3: Cross multiply
    120,591x = 265,239 × 265,239
  4. Step 4: Simplify right side
    120,591x = 70,351,727,121
  5. Step 5: Solve for x
    x = 70,351,727,121/120,591
  6. Step 6: Final answer
    x = 583,391.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.