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Finding the Third Proportional to 173,785 and 255,037

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Solution

The third proportional to 173,785 and 255,037 is: 374,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,785 : 255,037 = 255,037 : x
  2. Step 2: Convert to fraction form
    173,785/255,037 = 255,037/x
  3. Step 3: Cross multiply
    173,785x = 255,037 × 255,037
  4. Step 4: Simplify right side
    173,785x = 65,043,871,369
  5. Step 5: Solve for x
    x = 65,043,871,369/173,785
  6. Step 6: Final answer
    x = 374,277.82

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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.