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Finding the Third Proportional to 120,444 and 264,724

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Solution

The third proportional to 120,444 and 264,724 is: 581,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,444 : 264,724 = 264,724 : x
  2. Step 2: Convert to fraction form
    120,444/264,724 = 264,724/x
  3. Step 3: Cross multiply
    120,444x = 264,724 × 264,724
  4. Step 4: Simplify right side
    120,444x = 70,078,796,176
  5. Step 5: Solve for x
    x = 70,078,796,176/120,444
  6. Step 6: Final answer
    x = 581,837.17

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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.