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Finding the Third Proportional to 254,109 and 374,124

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Solution

The third proportional to 254,109 and 374,124 is: 550,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,109 : 374,124 = 374,124 : x
  2. Step 2: Convert to fraction form
    254,109/374,124 = 374,124/x
  3. Step 3: Cross multiply
    254,109x = 374,124 × 374,124
  4. Step 4: Simplify right side
    254,109x = 139,968,767,376
  5. Step 5: Solve for x
    x = 139,968,767,376/254,109
  6. Step 6: Final answer
    x = 550,821.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.