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Finding the Third Proportional to 94,702.50 and 210,425.25

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Solution

The third proportional to 94,702.50 and 210,425.25 is: 467,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,702.50 : 210,425.25 = 210,425.25 : x
  2. Step 2: Convert to fraction form
    94,702.50/210,425.25 = 210,425.25/x
  3. Step 3: Cross multiply
    94,702.50x = 210,425.25 × 210,425.25
  4. Step 4: Simplify right side
    94,702.50x = 44,278,785,837.56
  5. Step 5: Solve for x
    x = 44,278,785,837.56/94,702.50
  6. Step 6: Final answer
    x = 467,556.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.