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Finding the Third Proportional to 107,658 and 233,976

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Solution

The third proportional to 107,658 and 233,976 is: 508,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,658 : 233,976 = 233,976 : x
  2. Step 2: Convert to fraction form
    107,658/233,976 = 233,976/x
  3. Step 3: Cross multiply
    107,658x = 233,976 × 233,976
  4. Step 4: Simplify right side
    107,658x = 54,744,768,576
  5. Step 5: Solve for x
    x = 54,744,768,576/107,658
  6. Step 6: Final answer
    x = 508,506.28

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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.