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Finding the Third Proportional to 254,116 and 374,132

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Solution

The third proportional to 254,116 and 374,132 is: 550,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,116 : 374,132 = 374,132 : x
  2. Step 2: Convert to fraction form
    254,116/374,132 = 374,132/x
  3. Step 3: Cross multiply
    254,116x = 374,132 × 374,132
  4. Step 4: Simplify right side
    254,116x = 139,974,753,424
  5. Step 5: Solve for x
    x = 139,974,753,424/254,116
  6. Step 6: Final answer
    x = 550,830.15

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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.