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Finding the Third Proportional to 172,338.75 and 258,690.38

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Solution

The third proportional to 172,338.75 and 258,690.38 is: 388,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,338.75 : 258,690.38 = 258,690.38 : x
  2. Step 2: Convert to fraction form
    172,338.75/258,690.38 = 258,690.38/x
  3. Step 3: Cross multiply
    172,338.75x = 258,690.38 × 258,690.38
  4. Step 4: Simplify right side
    172,338.75x = 66,920,710,117.64
  5. Step 5: Solve for x
    x = 66,920,710,117.64/172,338.75
  6. Step 6: Final answer
    x = 388,309.13

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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.