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Finding the Third Proportional to 254,113 and 374,130

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Solution

The third proportional to 254,113 and 374,130 is: 550,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,113 : 374,130 = 374,130 : x
  2. Step 2: Convert to fraction form
    254,113/374,130 = 374,130/x
  3. Step 3: Cross multiply
    254,113x = 374,130 × 374,130
  4. Step 4: Simplify right side
    254,113x = 139,973,256,900
  5. Step 5: Solve for x
    x = 139,973,256,900/254,113
  6. Step 6: Final answer
    x = 550,830.76

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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.