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Finding the Third Proportional to 170,866.50 and 374,640

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Solution

The third proportional to 170,866.50 and 374,640 is: 821,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,866.50 : 374,640 = 374,640 : x
  2. Step 2: Convert to fraction form
    170,866.50/374,640 = 374,640/x
  3. Step 3: Cross multiply
    170,866.50x = 374,640 × 374,640
  4. Step 4: Simplify right side
    170,866.50x = 140,355,129,600
  5. Step 5: Solve for x
    x = 140,355,129,600/170,866.50
  6. Step 6: Final answer
    x = 821,431.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.