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Finding the Third Proportional to 116,295.75 and 174,443.63

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Solution

The third proportional to 116,295.75 and 174,443.63 is: 261,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,295.75 : 174,443.63 = 174,443.63 : x
  2. Step 2: Convert to fraction form
    116,295.75/174,443.63 = 174,443.63/x
  3. Step 3: Cross multiply
    116,295.75x = 174,443.63 × 174,443.63
  4. Step 4: Simplify right side
    116,295.75x = 30,430,578,303.14
  5. Step 5: Solve for x
    x = 30,430,578,303.14/116,295.75
  6. Step 6: Final answer
    x = 261,665.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.