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Finding the Third Proportional to 240,669 and 374,165

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Solution

The third proportional to 240,669 and 374,165 is: 581,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,669 : 374,165 = 374,165 : x
  2. Step 2: Convert to fraction form
    240,669/374,165 = 374,165/x
  3. Step 3: Cross multiply
    240,669x = 374,165 × 374,165
  4. Step 4: Simplify right side
    240,669x = 139,999,447,225
  5. Step 5: Solve for x
    x = 139,999,447,225/240,669
  6. Step 6: Final answer
    x = 581,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.