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Finding the Third Proportional to 171,243 and 371,666.50

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Solution

The third proportional to 171,243 and 371,666.50 is: 806,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,243 : 371,666.50 = 371,666.50 : x
  2. Step 2: Convert to fraction form
    171,243/371,666.50 = 371,666.50/x
  3. Step 3: Cross multiply
    171,243x = 371,666.50 × 371,666.50
  4. Step 4: Simplify right side
    171,243x = 138,135,987,222.25
  5. Step 5: Solve for x
    x = 138,135,987,222.25/171,243
  6. Step 6: Final answer
    x = 806,666.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.