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Finding the Third Proportional to 174,054 and 268,001

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Solution

The third proportional to 174,054 and 268,001 is: 412,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,054 : 268,001 = 268,001 : x
  2. Step 2: Convert to fraction form
    174,054/268,001 = 268,001/x
  3. Step 3: Cross multiply
    174,054x = 268,001 × 268,001
  4. Step 4: Simplify right side
    174,054x = 71,824,536,001
  5. Step 5: Solve for x
    x = 71,824,536,001/174,054
  6. Step 6: Final answer
    x = 412,656.62

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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.