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Finding the Third Proportional to 107,642 and 233,668

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Solution

The third proportional to 107,642 and 233,668 is: 507,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,642 : 233,668 = 233,668 : x
  2. Step 2: Convert to fraction form
    107,642/233,668 = 233,668/x
  3. Step 3: Cross multiply
    107,642x = 233,668 × 233,668
  4. Step 4: Simplify right side
    107,642x = 54,600,734,224
  5. Step 5: Solve for x
    x = 54,600,734,224/107,642
  6. Step 6: Final answer
    x = 507,243.77

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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.