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Finding the Third Proportional to 108,298 and 162,447

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Solution

The third proportional to 108,298 and 162,447 is: 243,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,298 : 162,447 = 162,447 : x
  2. Step 2: Convert to fraction form
    108,298/162,447 = 162,447/x
  3. Step 3: Cross multiply
    108,298x = 162,447 × 162,447
  4. Step 4: Simplify right side
    108,298x = 26,389,027,809
  5. Step 5: Solve for x
    x = 26,389,027,809/108,298
  6. Step 6: Final answer
    x = 243,670.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.