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Finding the Third Proportional to 128,595 and 200,254.50

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Solution

The third proportional to 128,595 and 200,254.50 is: 311,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,595 : 200,254.50 = 200,254.50 : x
  2. Step 2: Convert to fraction form
    128,595/200,254.50 = 200,254.50/x
  3. Step 3: Cross multiply
    128,595x = 200,254.50 × 200,254.50
  4. Step 4: Simplify right side
    128,595x = 40,101,864,770.25
  5. Step 5: Solve for x
    x = 40,101,864,770.25/128,595
  6. Step 6: Final answer
    x = 311,846.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.