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Finding the Third Proportional to 262,540.50 and 536,169

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Solution

The third proportional to 262,540.50 and 536,169 is: 1,094,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,540.50 : 536,169 = 536,169 : x
  2. Step 2: Convert to fraction form
    262,540.50/536,169 = 536,169/x
  3. Step 3: Cross multiply
    262,540.50x = 536,169 × 536,169
  4. Step 4: Simplify right side
    262,540.50x = 287,477,196,561
  5. Step 5: Solve for x
    x = 287,477,196,561/262,540.50
  6. Step 6: Final answer
    x = 1,094,982.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.