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Finding the Third Proportional to 134,982 and 301,068

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Solution

The third proportional to 134,982 and 301,068 is: 671,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,982 : 301,068 = 301,068 : x
  2. Step 2: Convert to fraction form
    134,982/301,068 = 301,068/x
  3. Step 3: Cross multiply
    134,982x = 301,068 × 301,068
  4. Step 4: Simplify right side
    134,982x = 90,641,940,624
  5. Step 5: Solve for x
    x = 90,641,940,624/134,982
  6. Step 6: Final answer
    x = 671,511.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.