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Finding the Third Proportional to 174,610 and 381,205

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Solution

The third proportional to 174,610 and 381,205 is: 832,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,610 : 381,205 = 381,205 : x
  2. Step 2: Convert to fraction form
    174,610/381,205 = 381,205/x
  3. Step 3: Cross multiply
    174,610x = 381,205 × 381,205
  4. Step 4: Simplify right side
    174,610x = 145,317,252,025
  5. Step 5: Solve for x
    x = 145,317,252,025/174,610
  6. Step 6: Final answer
    x = 832,239.00

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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.