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Finding the Third Proportional to 235,378.50 and 360,135

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Solution

The third proportional to 235,378.50 and 360,135 is: 551,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,378.50 : 360,135 = 360,135 : x
  2. Step 2: Convert to fraction form
    235,378.50/360,135 = 360,135/x
  3. Step 3: Cross multiply
    235,378.50x = 360,135 × 360,135
  4. Step 4: Simplify right side
    235,378.50x = 129,697,218,225
  5. Step 5: Solve for x
    x = 129,697,218,225/235,378.50
  6. Step 6: Final answer
    x = 551,015.57

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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.