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Finding the Third Proportional to 164,442 and 251,037

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Solution

The third proportional to 164,442 and 251,037 is: 383,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,442 : 251,037 = 251,037 : x
  2. Step 2: Convert to fraction form
    164,442/251,037 = 251,037/x
  3. Step 3: Cross multiply
    164,442x = 251,037 × 251,037
  4. Step 4: Simplify right side
    164,442x = 63,019,575,369
  5. Step 5: Solve for x
    x = 63,019,575,369/164,442
  6. Step 6: Final answer
    x = 383,232.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.