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Finding the Third Proportional to 184,176 and 401,664

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Solution

The third proportional to 184,176 and 401,664 is: 875,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,176 : 401,664 = 401,664 : x
  2. Step 2: Convert to fraction form
    184,176/401,664 = 401,664/x
  3. Step 3: Cross multiply
    184,176x = 401,664 × 401,664
  4. Step 4: Simplify right side
    184,176x = 161,333,968,896
  5. Step 5: Solve for x
    x = 161,333,968,896/184,176
  6. Step 6: Final answer
    x = 875,977.16

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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.