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Finding the Third Proportional to 216,552 and 333,285

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Solution

The third proportional to 216,552 and 333,285 is: 512,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,552 : 333,285 = 333,285 : x
  2. Step 2: Convert to fraction form
    216,552/333,285 = 333,285/x
  3. Step 3: Cross multiply
    216,552x = 333,285 × 333,285
  4. Step 4: Simplify right side
    216,552x = 111,078,891,225
  5. Step 5: Solve for x
    x = 111,078,891,225/216,552
  6. Step 6: Final answer
    x = 512,943.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.