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Finding the Third Proportional to 107,775 and 234,852

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Solution

The third proportional to 107,775 and 234,852 is: 511,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,775 : 234,852 = 234,852 : x
  2. Step 2: Convert to fraction form
    107,775/234,852 = 234,852/x
  3. Step 3: Cross multiply
    107,775x = 234,852 × 234,852
  4. Step 4: Simplify right side
    107,775x = 55,155,461,904
  5. Step 5: Solve for x
    x = 55,155,461,904/107,775
  6. Step 6: Final answer
    x = 511,764.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.