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Finding the Third Proportional to 108,220 and 166,434

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Solution

The third proportional to 108,220 and 166,434 is: 255,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,220 : 166,434 = 166,434 : x
  2. Step 2: Convert to fraction form
    108,220/166,434 = 166,434/x
  3. Step 3: Cross multiply
    108,220x = 166,434 × 166,434
  4. Step 4: Simplify right side
    108,220x = 27,700,276,356
  5. Step 5: Solve for x
    x = 27,700,276,356/108,220
  6. Step 6: Final answer
    x = 255,962.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.