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Finding the Third Proportional to 268,146 and 554,850

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Solution

The third proportional to 268,146 and 554,850 is: 1,148,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,146 : 554,850 = 554,850 : x
  2. Step 2: Convert to fraction form
    268,146/554,850 = 554,850/x
  3. Step 3: Cross multiply
    268,146x = 554,850 × 554,850
  4. Step 4: Simplify right side
    268,146x = 307,858,522,500
  5. Step 5: Solve for x
    x = 307,858,522,500/268,146
  6. Step 6: Final answer
    x = 1,148,100.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.