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Finding the Third Proportional to 210,084.75 and 283,050

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Solution

The third proportional to 210,084.75 and 283,050 is: 381,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084.75 : 283,050 = 283,050 : x
  2. Step 2: Convert to fraction form
    210,084.75/283,050 = 283,050/x
  3. Step 3: Cross multiply
    210,084.75x = 283,050 × 283,050
  4. Step 4: Simplify right side
    210,084.75x = 80,117,302,500
  5. Step 5: Solve for x
    x = 80,117,302,500/210,084.75
  6. Step 6: Final answer
    x = 381,357.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.