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Finding the Third Proportional to 108,240 and 166,464

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Solution

The third proportional to 108,240 and 166,464 is: 256,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,240 : 166,464 = 166,464 : x
  2. Step 2: Convert to fraction form
    108,240/166,464 = 166,464/x
  3. Step 3: Cross multiply
    108,240x = 166,464 × 166,464
  4. Step 4: Simplify right side
    108,240x = 27,710,263,296
  5. Step 5: Solve for x
    x = 27,710,263,296/108,240
  6. Step 6: Final answer
    x = 256,007.61

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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.