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Finding the Third Proportional to 212,458.50 and 453,343.50

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Solution

The third proportional to 212,458.50 and 453,343.50 is: 967,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,458.50 : 453,343.50 = 453,343.50 : x
  2. Step 2: Convert to fraction form
    212,458.50/453,343.50 = 453,343.50/x
  3. Step 3: Cross multiply
    212,458.50x = 453,343.50 × 453,343.50
  4. Step 4: Simplify right side
    212,458.50x = 205,520,328,992.25
  5. Step 5: Solve for x
    x = 205,520,328,992.25/212,458.50
  6. Step 6: Final answer
    x = 967,343.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.