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Finding the Third Proportional to 80,207 and 174,073

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Solution

The third proportional to 80,207 and 174,073 is: 377,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,207 : 174,073 = 174,073 : x
  2. Step 2: Convert to fraction form
    80,207/174,073 = 174,073/x
  3. Step 3: Cross multiply
    80,207x = 174,073 × 174,073
  4. Step 4: Simplify right side
    80,207x = 30,301,409,329
  5. Step 5: Solve for x
    x = 30,301,409,329/80,207
  6. Step 6: Final answer
    x = 377,790.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.