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Finding the Third Proportional to 108,898 and 163,348

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Solution

The third proportional to 108,898 and 163,348 is: 245,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,898 : 163,348 = 163,348 : x
  2. Step 2: Convert to fraction form
    108,898/163,348 = 163,348/x
  3. Step 3: Cross multiply
    108,898x = 163,348 × 163,348
  4. Step 4: Simplify right side
    108,898x = 26,682,569,104
  5. Step 5: Solve for x
    x = 26,682,569,104/108,898
  6. Step 6: Final answer
    x = 245,023.50

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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.