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Finding the Third Proportional to 235,434 and 360,225

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Solution

The third proportional to 235,434 and 360,225 is: 551,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,434 : 360,225 = 360,225 : x
  2. Step 2: Convert to fraction form
    235,434/360,225 = 360,225/x
  3. Step 3: Cross multiply
    235,434x = 360,225 × 360,225
  4. Step 4: Simplify right side
    235,434x = 129,762,050,625
  5. Step 5: Solve for x
    x = 129,762,050,625/235,434
  6. Step 6: Final answer
    x = 551,161.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.