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Finding the Third Proportional to 216,563 and 333,297

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Solution

The third proportional to 216,563 and 333,297 is: 512,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,563 : 333,297 = 333,297 : x
  2. Step 2: Convert to fraction form
    216,563/333,297 = 333,297/x
  3. Step 3: Cross multiply
    216,563x = 333,297 × 333,297
  4. Step 4: Simplify right side
    216,563x = 111,086,890,209
  5. Step 5: Solve for x
    x = 111,086,890,209/216,563
  6. Step 6: Final answer
    x = 512,954.15

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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.