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Finding the Third Proportional to 106,476 and 234,556

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Solution

The third proportional to 106,476 and 234,556 is: 516,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,476 : 234,556 = 234,556 : x
  2. Step 2: Convert to fraction form
    106,476/234,556 = 234,556/x
  3. Step 3: Cross multiply
    106,476x = 234,556 × 234,556
  4. Step 4: Simplify right side
    106,476x = 55,016,517,136
  5. Step 5: Solve for x
    x = 55,016,517,136/106,476
  6. Step 6: Final answer
    x = 516,703.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.