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Finding the Third Proportional to 180,876 and 266,089.50

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Solution

The third proportional to 180,876 and 266,089.50 is: 391,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,876 : 266,089.50 = 266,089.50 : x
  2. Step 2: Convert to fraction form
    180,876/266,089.50 = 266,089.50/x
  3. Step 3: Cross multiply
    180,876x = 266,089.50 × 266,089.50
  4. Step 4: Simplify right side
    180,876x = 70,803,622,010.25
  5. Step 5: Solve for x
    x = 70,803,622,010.25/180,876
  6. Step 6: Final answer
    x = 391,448.41

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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.