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Finding the Third Proportional to 212,888 and 296,004

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Solution

The third proportional to 212,888 and 296,004 is: 411,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,888 : 296,004 = 296,004 : x
  2. Step 2: Convert to fraction form
    212,888/296,004 = 296,004/x
  3. Step 3: Cross multiply
    212,888x = 296,004 × 296,004
  4. Step 4: Simplify right side
    212,888x = 87,618,368,016
  5. Step 5: Solve for x
    x = 87,618,368,016/212,888
  6. Step 6: Final answer
    x = 411,570.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.