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Finding the Third Proportional to 142,456 and 301,004

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Solution

The third proportional to 142,456 and 301,004 is: 636,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,456 : 301,004 = 301,004 : x
  2. Step 2: Convert to fraction form
    142,456/301,004 = 301,004/x
  3. Step 3: Cross multiply
    142,456x = 301,004 × 301,004
  4. Step 4: Simplify right side
    142,456x = 90,603,408,016
  5. Step 5: Solve for x
    x = 90,603,408,016/142,456
  6. Step 6: Final answer
    x = 636,009.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.