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Finding the Third Proportional to 216,573 and 333,312

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Solution

The third proportional to 216,573 and 333,312 is: 512,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,573 : 333,312 = 333,312 : x
  2. Step 2: Convert to fraction form
    216,573/333,312 = 333,312/x
  3. Step 3: Cross multiply
    216,573x = 333,312 × 333,312
  4. Step 4: Simplify right side
    216,573x = 111,096,889,344
  5. Step 5: Solve for x
    x = 111,096,889,344/216,573
  6. Step 6: Final answer
    x = 512,976.64

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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.