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Finding the Third Proportional to 98,254 and 212,196

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Solution

The third proportional to 98,254 and 212,196 is: 458,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,254 : 212,196 = 212,196 : x
  2. Step 2: Convert to fraction form
    98,254/212,196 = 212,196/x
  3. Step 3: Cross multiply
    98,254x = 212,196 × 212,196
  4. Step 4: Simplify right side
    98,254x = 45,027,142,416
  5. Step 5: Solve for x
    x = 45,027,142,416/98,254
  6. Step 6: Final answer
    x = 458,272.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.