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Finding the Third Proportional to 215,320.50 and 330,513.75

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Solution

The third proportional to 215,320.50 and 330,513.75 is: 507,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,320.50 : 330,513.75 = 330,513.75 : x
  2. Step 2: Convert to fraction form
    215,320.50/330,513.75 = 330,513.75/x
  3. Step 3: Cross multiply
    215,320.50x = 330,513.75 × 330,513.75
  4. Step 4: Simplify right side
    215,320.50x = 109,239,338,939.06
  5. Step 5: Solve for x
    x = 109,239,338,939.06/215,320.50
  6. Step 6: Final answer
    x = 507,333.67

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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.