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Finding the Third Proportional to 260,026.50 and 365,102

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Solution

The third proportional to 260,026.50 and 365,102 is: 512,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,026.50 : 365,102 = 365,102 : x
  2. Step 2: Convert to fraction form
    260,026.50/365,102 = 365,102/x
  3. Step 3: Cross multiply
    260,026.50x = 365,102 × 365,102
  4. Step 4: Simplify right side
    260,026.50x = 133,299,470,404
  5. Step 5: Solve for x
    x = 133,299,470,404/260,026.50
  6. Step 6: Final answer
    x = 512,638.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.