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Finding the Third Proportional to 150,004 and 219,083

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Solution

The third proportional to 150,004 and 219,083 is: 319,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,004 : 219,083 = 219,083 : x
  2. Step 2: Convert to fraction form
    150,004/219,083 = 219,083/x
  3. Step 3: Cross multiply
    150,004x = 219,083 × 219,083
  4. Step 4: Simplify right side
    150,004x = 47,997,360,889
  5. Step 5: Solve for x
    x = 47,997,360,889/150,004
  6. Step 6: Final answer
    x = 319,973.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.