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Finding the Third Proportional to 225,615 and 376,006.50

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Solution

The third proportional to 225,615 and 376,006.50 is: 626,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,615 : 376,006.50 = 376,006.50 : x
  2. Step 2: Convert to fraction form
    225,615/376,006.50 = 376,006.50/x
  3. Step 3: Cross multiply
    225,615x = 376,006.50 × 376,006.50
  4. Step 4: Simplify right side
    225,615x = 141,380,888,042.25
  5. Step 5: Solve for x
    x = 141,380,888,042.25/225,615
  6. Step 6: Final answer
    x = 626,646.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.