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Finding the Third Proportional to 145,286 and 200,073

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Solution

The third proportional to 145,286 and 200,073 is: 275,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,286 : 200,073 = 200,073 : x
  2. Step 2: Convert to fraction form
    145,286/200,073 = 200,073/x
  3. Step 3: Cross multiply
    145,286x = 200,073 × 200,073
  4. Step 4: Simplify right side
    145,286x = 40,029,205,329
  5. Step 5: Solve for x
    x = 40,029,205,329/145,286
  6. Step 6: Final answer
    x = 275,520.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.