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Finding the Third Proportional to 120,752 and 264,832

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Solution

The third proportional to 120,752 and 264,832 is: 580,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,752 : 264,832 = 264,832 : x
  2. Step 2: Convert to fraction form
    120,752/264,832 = 264,832/x
  3. Step 3: Cross multiply
    120,752x = 264,832 × 264,832
  4. Step 4: Simplify right side
    120,752x = 70,135,988,224
  5. Step 5: Solve for x
    x = 70,135,988,224/120,752
  6. Step 6: Final answer
    x = 580,826.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.