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Finding the Third Proportional to 180,427.50 and 385,884

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Solution

The third proportional to 180,427.50 and 385,884 is: 825,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,427.50 : 385,884 = 385,884 : x
  2. Step 2: Convert to fraction form
    180,427.50/385,884 = 385,884/x
  3. Step 3: Cross multiply
    180,427.50x = 385,884 × 385,884
  4. Step 4: Simplify right side
    180,427.50x = 148,906,461,456
  5. Step 5: Solve for x
    x = 148,906,461,456/180,427.50
  6. Step 6: Final answer
    x = 825,298.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.