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Finding the Third Proportional to 120,858 and 264,558

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Solution

The third proportional to 120,858 and 264,558 is: 579,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 264,558 = 264,558 : x
  2. Step 2: Convert to fraction form
    120,858/264,558 = 264,558/x
  3. Step 3: Cross multiply
    120,858x = 264,558 × 264,558
  4. Step 4: Simplify right side
    120,858x = 69,990,935,364
  5. Step 5: Solve for x
    x = 69,990,935,364/120,858
  6. Step 6: Final answer
    x = 579,117.11

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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.