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Finding the Third Proportional to 174,705 and 263,506.50

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Solution

The third proportional to 174,705 and 263,506.50 is: 397,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,705 : 263,506.50 = 263,506.50 : x
  2. Step 2: Convert to fraction form
    174,705/263,506.50 = 263,506.50/x
  3. Step 3: Cross multiply
    174,705x = 263,506.50 × 263,506.50
  4. Step 4: Simplify right side
    174,705x = 69,435,675,542.25
  5. Step 5: Solve for x
    x = 69,435,675,542.25/174,705
  6. Step 6: Final answer
    x = 397,445.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.