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Finding the Third Proportional to 142,636.22 and 301,187.67

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Solution

The third proportional to 142,636.22 and 301,187.67 is: 635,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,636.22 : 301,187.67 = 301,187.67 : x
  2. Step 2: Convert to fraction form
    142,636.22/301,187.67 = 301,187.67/x
  3. Step 3: Cross multiply
    142,636.22x = 301,187.67 × 301,187.67
  4. Step 4: Simplify right side
    142,636.22x = 90,714,013,689.48
  5. Step 5: Solve for x
    x = 90,714,013,689.48/142,636.22
  6. Step 6: Final answer
    x = 635,981.62

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