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Finding the Third Proportional to 106,632 and 234,000

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Solution

The third proportional to 106,632 and 234,000 is: 513,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,632 : 234,000 = 234,000 : x
  2. Step 2: Convert to fraction form
    106,632/234,000 = 234,000/x
  3. Step 3: Cross multiply
    106,632x = 234,000 × 234,000
  4. Step 4: Simplify right side
    106,632x = 54,756,000,000
  5. Step 5: Solve for x
    x = 54,756,000,000/106,632
  6. Step 6: Final answer
    x = 513,504.39

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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.