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Finding the Third Proportional to 104,290 and 227,702

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Solution

The third proportional to 104,290 and 227,702 is: 497,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,290 : 227,702 = 227,702 : x
  2. Step 2: Convert to fraction form
    104,290/227,702 = 227,702/x
  3. Step 3: Cross multiply
    104,290x = 227,702 × 227,702
  4. Step 4: Simplify right side
    104,290x = 51,848,200,804
  5. Step 5: Solve for x
    x = 51,848,200,804/104,290
  6. Step 6: Final answer
    x = 497,154.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.