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Finding the Third Proportional to 84,266 and 180,196

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Solution

The third proportional to 84,266 and 180,196 is: 385,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,266 : 180,196 = 180,196 : x
  2. Step 2: Convert to fraction form
    84,266/180,196 = 180,196/x
  3. Step 3: Cross multiply
    84,266x = 180,196 × 180,196
  4. Step 4: Simplify right side
    84,266x = 32,470,598,416
  5. Step 5: Solve for x
    x = 32,470,598,416/84,266
  6. Step 6: Final answer
    x = 385,334.52

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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.