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Finding the Third Proportional to 176,424.75 and 265,033.69

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Solution

The third proportional to 176,424.75 and 265,033.69 is: 398,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,424.75 : 265,033.69 = 265,033.69 : x
  2. Step 2: Convert to fraction form
    176,424.75/265,033.69 = 265,033.69/x
  3. Step 3: Cross multiply
    176,424.75x = 265,033.69 × 265,033.69
  4. Step 4: Simplify right side
    176,424.75x = 70,242,855,509.85
  5. Step 5: Solve for x
    x = 70,242,855,509.85/176,424.75
  6. Step 6: Final answer
    x = 398,146.27

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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.