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Finding the Third Proportional to 254,111 and 374,127

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Solution

The third proportional to 254,111 and 374,127 is: 550,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,111 : 374,127 = 374,127 : x
  2. Step 2: Convert to fraction form
    254,111/374,127 = 374,127/x
  3. Step 3: Cross multiply
    254,111x = 374,127 × 374,127
  4. Step 4: Simplify right side
    254,111x = 139,971,012,129
  5. Step 5: Solve for x
    x = 139,971,012,129/254,111
  6. Step 6: Final answer
    x = 550,826.26

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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.