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Finding the Third Proportional to 108,295.50 and 260,893.50

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Solution

The third proportional to 108,295.50 and 260,893.50 is: 628,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,295.50 : 260,893.50 = 260,893.50 : x
  2. Step 2: Convert to fraction form
    108,295.50/260,893.50 = 260,893.50/x
  3. Step 3: Cross multiply
    108,295.50x = 260,893.50 × 260,893.50
  4. Step 4: Simplify right side
    108,295.50x = 68,065,418,342.25
  5. Step 5: Solve for x
    x = 68,065,418,342.25/108,295.50
  6. Step 6: Final answer
    x = 628,515.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.