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Finding the Third Proportional to 188,232 and 405,786

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Solution

The third proportional to 188,232 and 405,786 is: 874,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,232 : 405,786 = 405,786 : x
  2. Step 2: Convert to fraction form
    188,232/405,786 = 405,786/x
  3. Step 3: Cross multiply
    188,232x = 405,786 × 405,786
  4. Step 4: Simplify right side
    188,232x = 164,662,277,796
  5. Step 5: Solve for x
    x = 164,662,277,796/188,232
  6. Step 6: Final answer
    x = 874,783.66

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