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Finding the Third Proportional to 251,700 and 374,142

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Solution

The third proportional to 251,700 and 374,142 is: 556,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,700 : 374,142 = 374,142 : x
  2. Step 2: Convert to fraction form
    251,700/374,142 = 374,142/x
  3. Step 3: Cross multiply
    251,700x = 374,142 × 374,142
  4. Step 4: Simplify right side
    251,700x = 139,982,236,164
  5. Step 5: Solve for x
    x = 139,982,236,164/251,700
  6. Step 6: Final answer
    x = 556,147.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.