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Finding the Third Proportional to 174,930 and 255,510

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Solution

The third proportional to 174,930 and 255,510 is: 373,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,930 : 255,510 = 255,510 : x
  2. Step 2: Convert to fraction form
    174,930/255,510 = 255,510/x
  3. Step 3: Cross multiply
    174,930x = 255,510 × 255,510
  4. Step 4: Simplify right side
    174,930x = 65,285,360,100
  5. Step 5: Solve for x
    x = 65,285,360,100/174,930
  6. Step 6: Final answer
    x = 373,208.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.