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Finding the Third Proportional to 171,805.50 and 258,032.25

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Solution

The third proportional to 171,805.50 and 258,032.25 is: 387,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,805.50 : 258,032.25 = 258,032.25 : x
  2. Step 2: Convert to fraction form
    171,805.50/258,032.25 = 258,032.25/x
  3. Step 3: Cross multiply
    171,805.50x = 258,032.25 × 258,032.25
  4. Step 4: Simplify right side
    171,805.50x = 66,580,642,040.06
  5. Step 5: Solve for x
    x = 66,580,642,040.06/171,805.50
  6. Step 6: Final answer
    x = 387,534.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.