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Finding the Third Proportional to 122,823.84 and 268,559.30

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Solution

The third proportional to 122,823.84 and 268,559.30 is: 587,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,823.84 : 268,559.30 = 268,559.30 : x
  2. Step 2: Convert to fraction form
    122,823.84/268,559.30 = 268,559.30/x
  3. Step 3: Cross multiply
    122,823.84x = 268,559.30 × 268,559.30
  4. Step 4: Simplify right side
    122,823.84x = 72,124,095,937.99
  5. Step 5: Solve for x
    x = 72,124,095,937.99/122,823.84
  6. Step 6: Final answer
    x = 587,215.75

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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.