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Finding the Third Proportional to 167,030 and 258,321

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Solution

The third proportional to 167,030 and 258,321 is: 399,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,030 : 258,321 = 258,321 : x
  2. Step 2: Convert to fraction form
    167,030/258,321 = 258,321/x
  3. Step 3: Cross multiply
    167,030x = 258,321 × 258,321
  4. Step 4: Simplify right side
    167,030x = 66,729,739,041
  5. Step 5: Solve for x
    x = 66,729,739,041/167,030
  6. Step 6: Final answer
    x = 399,507.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.