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Finding the Third Proportional to 164,037 and 253,315

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Solution

The third proportional to 164,037 and 253,315 is: 391,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,037 : 253,315 = 253,315 : x
  2. Step 2: Convert to fraction form
    164,037/253,315 = 253,315/x
  3. Step 3: Cross multiply
    164,037x = 253,315 × 253,315
  4. Step 4: Simplify right side
    164,037x = 64,168,489,225
  5. Step 5: Solve for x
    x = 64,168,489,225/164,037
  6. Step 6: Final answer
    x = 391,183.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.