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Finding the Third Proportional to 268,164 and 554,884

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Solution

The third proportional to 268,164 and 554,884 is: 1,148,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,164 : 554,884 = 554,884 : x
  2. Step 2: Convert to fraction form
    268,164/554,884 = 554,884/x
  3. Step 3: Cross multiply
    268,164x = 554,884 × 554,884
  4. Step 4: Simplify right side
    268,164x = 307,896,253,456
  5. Step 5: Solve for x
    x = 307,896,253,456/268,164
  6. Step 6: Final answer
    x = 1,148,164.01

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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.