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Finding the Third Proportional to 180,884 and 266,101

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Solution

The third proportional to 180,884 and 266,101 is: 391,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,884 : 266,101 = 266,101 : x
  2. Step 2: Convert to fraction form
    180,884/266,101 = 266,101/x
  3. Step 3: Cross multiply
    180,884x = 266,101 × 266,101
  4. Step 4: Simplify right side
    180,884x = 70,809,742,201
  5. Step 5: Solve for x
    x = 70,809,742,201/180,884
  6. Step 6: Final answer
    x = 391,464.93

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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.