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Finding the Third Proportional to 146,214 and 318,852

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Solution

The third proportional to 146,214 and 318,852 is: 695,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,214 : 318,852 = 318,852 : x
  2. Step 2: Convert to fraction form
    146,214/318,852 = 318,852/x
  3. Step 3: Cross multiply
    146,214x = 318,852 × 318,852
  4. Step 4: Simplify right side
    146,214x = 101,666,597,904
  5. Step 5: Solve for x
    x = 101,666,597,904/146,214
  6. Step 6: Final answer
    x = 695,327.38

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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.