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Finding the Third Proportional to 106,604 and 231,640

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Solution

The third proportional to 106,604 and 231,640 is: 503,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,604 : 231,640 = 231,640 : x
  2. Step 2: Convert to fraction form
    106,604/231,640 = 231,640/x
  3. Step 3: Cross multiply
    106,604x = 231,640 × 231,640
  4. Step 4: Simplify right side
    106,604x = 53,657,089,600
  5. Step 5: Solve for x
    x = 53,657,089,600/106,604
  6. Step 6: Final answer
    x = 503,330.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.