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Finding the Third Proportional to 216,420 and 323,418.63

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Solution

The third proportional to 216,420 and 323,418.63 is: 483,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,420 : 323,418.63 = 323,418.63 : x
  2. Step 2: Convert to fraction form
    216,420/323,418.63 = 323,418.63/x
  3. Step 3: Cross multiply
    216,420x = 323,418.63 × 323,418.63
  4. Step 4: Simplify right side
    216,420x = 104,599,606,996.89
  5. Step 5: Solve for x
    x = 104,599,606,996.89/216,420
  6. Step 6: Final answer
    x = 483,317.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.