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Finding the Third Proportional to 110,704 and 237,155

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Solution

The third proportional to 110,704 and 237,155 is: 508,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,704 : 237,155 = 237,155 : x
  2. Step 2: Convert to fraction form
    110,704/237,155 = 237,155/x
  3. Step 3: Cross multiply
    110,704x = 237,155 × 237,155
  4. Step 4: Simplify right side
    110,704x = 56,242,494,025
  5. Step 5: Solve for x
    x = 56,242,494,025/110,704
  6. Step 6: Final answer
    x = 508,043.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.