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Finding the Third Proportional to 227,657 and 334,104

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Solution

The third proportional to 227,657 and 334,104 is: 490,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,657 : 334,104 = 334,104 : x
  2. Step 2: Convert to fraction form
    227,657/334,104 = 334,104/x
  3. Step 3: Cross multiply
    227,657x = 334,104 × 334,104
  4. Step 4: Simplify right side
    227,657x = 111,625,482,816
  5. Step 5: Solve for x
    x = 111,625,482,816/227,657
  6. Step 6: Final answer
    x = 490,323.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.