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Finding the Third Proportional to 216,119.25 and 347,245.88

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Solution

The third proportional to 216,119.25 and 347,245.88 is: 557,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,119.25 : 347,245.88 = 347,245.88 : x
  2. Step 2: Convert to fraction form
    216,119.25/347,245.88 = 347,245.88/x
  3. Step 3: Cross multiply
    216,119.25x = 347,245.88 × 347,245.88
  4. Step 4: Simplify right side
    216,119.25x = 120,579,697,704.52
  5. Step 5: Solve for x
    x = 120,579,697,704.52/216,119.25
  6. Step 6: Final answer
    x = 557,931.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.