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Finding the Third Proportional to 186,176 and 401,872

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Solution

The third proportional to 186,176 and 401,872 is: 867,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,176 : 401,872 = 401,872 : x
  2. Step 2: Convert to fraction form
    186,176/401,872 = 401,872/x
  3. Step 3: Cross multiply
    186,176x = 401,872 × 401,872
  4. Step 4: Simplify right side
    186,176x = 161,501,104,384
  5. Step 5: Solve for x
    x = 161,501,104,384/186,176
  6. Step 6: Final answer
    x = 867,464.68

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Why These Related Problems?

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