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Finding the Third Proportional to 170,692.75 and 374,038.75

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Solution

The third proportional to 170,692.75 and 374,038.75 is: 819,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,692.75 : 374,038.75 = 374,038.75 : x
  2. Step 2: Convert to fraction form
    170,692.75/374,038.75 = 374,038.75/x
  3. Step 3: Cross multiply
    170,692.75x = 374,038.75 × 374,038.75
  4. Step 4: Simplify right side
    170,692.75x = 139,904,986,501.56
  5. Step 5: Solve for x
    x = 139,904,986,501.56/170,692.75
  6. Step 6: Final answer
    x = 819,630.51

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Why These Related Problems?

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