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Finding the Third Proportional to 111,194 and 243,154

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Solution

The third proportional to 111,194 and 243,154 is: 531,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194 : 243,154 = 243,154 : x
  2. Step 2: Convert to fraction form
    111,194/243,154 = 243,154/x
  3. Step 3: Cross multiply
    111,194x = 243,154 × 243,154
  4. Step 4: Simplify right side
    111,194x = 59,123,867,716
  5. Step 5: Solve for x
    x = 59,123,867,716/111,194
  6. Step 6: Final answer
    x = 531,718.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.