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Finding the Third Proportional to 98,176 and 212,984

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Solution

The third proportional to 98,176 and 212,984 is: 462,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,176 : 212,984 = 212,984 : x
  2. Step 2: Convert to fraction form
    98,176/212,984 = 212,984/x
  3. Step 3: Cross multiply
    98,176x = 212,984 × 212,984
  4. Step 4: Simplify right side
    98,176x = 45,362,184,256
  5. Step 5: Solve for x
    x = 45,362,184,256/98,176
  6. Step 6: Final answer
    x = 462,049.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.