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Finding the Third Proportional to 216,837 and 304,033.50

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Solution

The third proportional to 216,837 and 304,033.50 is: 426,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,837 : 304,033.50 = 304,033.50 : x
  2. Step 2: Convert to fraction form
    216,837/304,033.50 = 304,033.50/x
  3. Step 3: Cross multiply
    216,837x = 304,033.50 × 304,033.50
  4. Step 4: Simplify right side
    216,837x = 92,436,369,122.25
  5. Step 5: Solve for x
    x = 92,436,369,122.25/216,837
  6. Step 6: Final answer
    x = 426,294.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.