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Finding the Third Proportional to 254,370 and 374,157

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Solution

The third proportional to 254,370 and 374,157 is: 550,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,370 : 374,157 = 374,157 : x
  2. Step 2: Convert to fraction form
    254,370/374,157 = 374,157/x
  3. Step 3: Cross multiply
    254,370x = 374,157 × 374,157
  4. Step 4: Simplify right side
    254,370x = 139,993,460,649
  5. Step 5: Solve for x
    x = 139,993,460,649/254,370
  6. Step 6: Final answer
    x = 550,353.66

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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.