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Finding the Third Proportional to 106,440 and 233,616

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Solution

The third proportional to 106,440 and 233,616 is: 512,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,440 : 233,616 = 233,616 : x
  2. Step 2: Convert to fraction form
    106,440/233,616 = 233,616/x
  3. Step 3: Cross multiply
    106,440x = 233,616 × 233,616
  4. Step 4: Simplify right side
    106,440x = 54,576,435,456
  5. Step 5: Solve for x
    x = 54,576,435,456/106,440
  6. Step 6: Final answer
    x = 512,743.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.