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Finding the Third Proportional to 189,324 and 414,288

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Solution

The third proportional to 189,324 and 414,288 is: 906,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,324 : 414,288 = 414,288 : x
  2. Step 2: Convert to fraction form
    189,324/414,288 = 414,288/x
  3. Step 3: Cross multiply
    189,324x = 414,288 × 414,288
  4. Step 4: Simplify right side
    189,324x = 171,634,546,944
  5. Step 5: Solve for x
    x = 171,634,546,944/189,324
  6. Step 6: Final answer
    x = 906,565.18

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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.