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Finding the Third Proportional to 254,112 and 374,129

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Solution

The third proportional to 254,112 and 374,129 is: 550,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,112 : 374,129 = 374,129 : x
  2. Step 2: Convert to fraction form
    254,112/374,129 = 374,129/x
  3. Step 3: Cross multiply
    254,112x = 374,129 × 374,129
  4. Step 4: Simplify right side
    254,112x = 139,972,508,641
  5. Step 5: Solve for x
    x = 139,972,508,641/254,112
  6. Step 6: Final answer
    x = 550,829.98

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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.