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Finding the Third Proportional to 228,757 and 330,012.50

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Solution

The third proportional to 228,757 and 330,012.50 is: 476,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,757 : 330,012.50 = 330,012.50 : x
  2. Step 2: Convert to fraction form
    228,757/330,012.50 = 330,012.50/x
  3. Step 3: Cross multiply
    228,757x = 330,012.50 × 330,012.50
  4. Step 4: Simplify right side
    228,757x = 108,908,250,156.25
  5. Step 5: Solve for x
    x = 108,908,250,156.25/228,757
  6. Step 6: Final answer
    x = 476,087.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.