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Finding the Third Proportional to 183,538.50 and 258,468

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Solution

The third proportional to 183,538.50 and 258,468 is: 363,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,538.50 : 258,468 = 258,468 : x
  2. Step 2: Convert to fraction form
    183,538.50/258,468 = 258,468/x
  3. Step 3: Cross multiply
    183,538.50x = 258,468 × 258,468
  4. Step 4: Simplify right side
    183,538.50x = 66,805,707,024
  5. Step 5: Solve for x
    x = 66,805,707,024/183,538.50
  6. Step 6: Final answer
    x = 363,987.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.