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Finding the Third Proportional to 120,598 and 265,256

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Solution

The third proportional to 120,598 and 265,256 is: 583,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598 : 265,256 = 265,256 : x
  2. Step 2: Convert to fraction form
    120,598/265,256 = 265,256/x
  3. Step 3: Cross multiply
    120,598x = 265,256 × 265,256
  4. Step 4: Simplify right side
    120,598x = 70,360,745,536
  5. Step 5: Solve for x
    x = 70,360,745,536/120,598
  6. Step 6: Final answer
    x = 583,432.11

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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.