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Finding the Third Proportional to 235,328 and 360,059

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Solution

The third proportional to 235,328 and 360,059 is: 550,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,328 : 360,059 = 360,059 : x
  2. Step 2: Convert to fraction form
    235,328/360,059 = 360,059/x
  3. Step 3: Cross multiply
    235,328x = 360,059 × 360,059
  4. Step 4: Simplify right side
    235,328x = 129,642,483,481
  5. Step 5: Solve for x
    x = 129,642,483,481/235,328
  6. Step 6: Final answer
    x = 550,901.23

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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.