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Finding the Third Proportional to 216,133 and 347,267

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Solution

The third proportional to 216,133 and 347,267 is: 557,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,133 : 347,267 = 347,267 : x
  2. Step 2: Convert to fraction form
    216,133/347,267 = 347,267/x
  3. Step 3: Cross multiply
    216,133x = 347,267 × 347,267
  4. Step 4: Simplify right side
    216,133x = 120,594,369,289
  5. Step 5: Solve for x
    x = 120,594,369,289/216,133
  6. Step 6: Final answer
    x = 557,963.70

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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.