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Finding the Third Proportional to 101,004 and 219,480

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Solution

The third proportional to 101,004 and 219,480 is: 476,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,004 : 219,480 = 219,480 : x
  2. Step 2: Convert to fraction form
    101,004/219,480 = 219,480/x
  3. Step 3: Cross multiply
    101,004x = 219,480 × 219,480
  4. Step 4: Simplify right side
    101,004x = 48,171,470,400
  5. Step 5: Solve for x
    x = 48,171,470,400/101,004
  6. Step 6: Final answer
    x = 476,926.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.