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Finding the Third Proportional to 183,710 and 401,116

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Solution

The third proportional to 183,710 and 401,116 is: 875,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,710 : 401,116 = 401,116 : x
  2. Step 2: Convert to fraction form
    183,710/401,116 = 401,116/x
  3. Step 3: Cross multiply
    183,710x = 401,116 × 401,116
  4. Step 4: Simplify right side
    183,710x = 160,894,045,456
  5. Step 5: Solve for x
    x = 160,894,045,456/183,710
  6. Step 6: Final answer
    x = 875,804.50

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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.