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Finding the Third Proportional to 180,868 and 266,073

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Solution

The third proportional to 180,868 and 266,073 is: 391,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,868 : 266,073 = 266,073 : x
  2. Step 2: Convert to fraction form
    180,868/266,073 = 266,073/x
  3. Step 3: Cross multiply
    180,868x = 266,073 × 266,073
  4. Step 4: Simplify right side
    180,868x = 70,794,841,329
  5. Step 5: Solve for x
    x = 70,794,841,329/180,868
  6. Step 6: Final answer
    x = 391,417.17

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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.