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Finding the Third Proportional to 216,841 and 333,717

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Solution

The third proportional to 216,841 and 333,717 is: 513,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,841 : 333,717 = 333,717 : x
  2. Step 2: Convert to fraction form
    216,841/333,717 = 333,717/x
  3. Step 3: Cross multiply
    216,841x = 333,717 × 333,717
  4. Step 4: Simplify right side
    216,841x = 111,367,036,089
  5. Step 5: Solve for x
    x = 111,367,036,089/216,841
  6. Step 6: Final answer
    x = 513,588.46

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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.