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Finding the Third Proportional to 228,154.50 and 302,784.75

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Solution

The third proportional to 228,154.50 and 302,784.75 is: 401,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,154.50 : 302,784.75 = 302,784.75 : x
  2. Step 2: Convert to fraction form
    228,154.50/302,784.75 = 302,784.75/x
  3. Step 3: Cross multiply
    228,154.50x = 302,784.75 × 302,784.75
  4. Step 4: Simplify right side
    228,154.50x = 91,678,604,832.56
  5. Step 5: Solve for x
    x = 91,678,604,832.56/228,154.50
  6. Step 6: Final answer
    x = 401,826.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.