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Finding the Third Proportional to 180,365 and 280,371

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Solution

The third proportional to 180,365 and 280,371 is: 435,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,365 : 280,371 = 280,371 : x
  2. Step 2: Convert to fraction form
    180,365/280,371 = 280,371/x
  3. Step 3: Cross multiply
    180,365x = 280,371 × 280,371
  4. Step 4: Simplify right side
    180,365x = 78,607,897,641
  5. Step 5: Solve for x
    x = 78,607,897,641/180,365
  6. Step 6: Final answer
    x = 435,826.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.