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Finding the Third Proportional to 142,508 and 301,108

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Solution

The third proportional to 142,508 and 301,108 is: 636,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,508 : 301,108 = 301,108 : x
  2. Step 2: Convert to fraction form
    142,508/301,108 = 301,108/x
  3. Step 3: Cross multiply
    142,508x = 301,108 × 301,108
  4. Step 4: Simplify right side
    142,508x = 90,666,027,664
  5. Step 5: Solve for x
    x = 90,666,027,664/142,508
  6. Step 6: Final answer
    x = 636,217.11

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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.