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Finding the Third Proportional to 166,362 and 232,827

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Solution

The third proportional to 166,362 and 232,827 is: 325,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,362 : 232,827 = 232,827 : x
  2. Step 2: Convert to fraction form
    166,362/232,827 = 232,827/x
  3. Step 3: Cross multiply
    166,362x = 232,827 × 232,827
  4. Step 4: Simplify right side
    166,362x = 54,208,411,929
  5. Step 5: Solve for x
    x = 54,208,411,929/166,362
  6. Step 6: Final answer
    x = 325,846.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.