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Finding the Third Proportional to 216,567 and 333,303

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Solution

The third proportional to 216,567 and 333,303 is: 512,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,567 : 333,303 = 333,303 : x
  2. Step 2: Convert to fraction form
    216,567/333,303 = 333,303/x
  3. Step 3: Cross multiply
    216,567x = 333,303 × 333,303
  4. Step 4: Simplify right side
    216,567x = 111,090,889,809
  5. Step 5: Solve for x
    x = 111,090,889,809/216,567
  6. Step 6: Final answer
    x = 512,963.15

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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.