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Finding the Third Proportional to 142,856 and 301,616

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Solution

The third proportional to 142,856 and 301,616 is: 636,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,856 : 301,616 = 301,616 : x
  2. Step 2: Convert to fraction form
    142,856/301,616 = 301,616/x
  3. Step 3: Cross multiply
    142,856x = 301,616 × 301,616
  4. Step 4: Simplify right side
    142,856x = 90,972,211,456
  5. Step 5: Solve for x
    x = 90,972,211,456/142,856
  6. Step 6: Final answer
    x = 636,810.57

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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.