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Finding the Third Proportional to 189,054 and 409,138

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Solution

The third proportional to 189,054 and 409,138 is: 885,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,054 : 409,138 = 409,138 : x
  2. Step 2: Convert to fraction form
    189,054/409,138 = 409,138/x
  3. Step 3: Cross multiply
    189,054x = 409,138 × 409,138
  4. Step 4: Simplify right side
    189,054x = 167,393,903,044
  5. Step 5: Solve for x
    x = 167,393,903,044/189,054
  6. Step 6: Final answer
    x = 885,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.