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Finding the Third Proportional to 235,300.50 and 360,011.25

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Solution

The third proportional to 235,300.50 and 360,011.25 is: 550,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,300.50 : 360,011.25 = 360,011.25 : x
  2. Step 2: Convert to fraction form
    235,300.50/360,011.25 = 360,011.25/x
  3. Step 3: Cross multiply
    235,300.50x = 360,011.25 × 360,011.25
  4. Step 4: Simplify right side
    235,300.50x = 129,608,100,126.56
  5. Step 5: Solve for x
    x = 129,608,100,126.56/235,300.50
  6. Step 6: Final answer
    x = 550,819.48

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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.