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Finding the Third Proportional to 176,033.25 and 264,893.63

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Solution

The third proportional to 176,033.25 and 264,893.63 is: 398,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,033.25 : 264,893.63 = 264,893.63 : x
  2. Step 2: Convert to fraction form
    176,033.25/264,893.63 = 264,893.63/x
  3. Step 3: Cross multiply
    176,033.25x = 264,893.63 × 264,893.63
  4. Step 4: Simplify right side
    176,033.25x = 70,168,632,565.64
  5. Step 5: Solve for x
    x = 70,168,632,565.64/176,033.25
  6. Step 6: Final answer
    x = 398,610.11

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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.