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Finding the Third Proportional to 98,650 and 212,852

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Solution

The third proportional to 98,650 and 212,852 is: 459,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,650 : 212,852 = 212,852 : x
  2. Step 2: Convert to fraction form
    98,650/212,852 = 212,852/x
  3. Step 3: Cross multiply
    98,650x = 212,852 × 212,852
  4. Step 4: Simplify right side
    98,650x = 45,305,973,904
  5. Step 5: Solve for x
    x = 45,305,973,904/98,650
  6. Step 6: Final answer
    x = 459,259.75

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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.