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Finding the Third Proportional to 212,235.63 and 301,748.31

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Solution

The third proportional to 212,235.63 and 301,748.31 is: 429,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,235.63 : 301,748.31 = 301,748.31 : x
  2. Step 2: Convert to fraction form
    212,235.63/301,748.31 = 301,748.31/x
  3. Step 3: Cross multiply
    212,235.63x = 301,748.31 × 301,748.31
  4. Step 4: Simplify right side
    212,235.63x = 91,052,044,096.60
  5. Step 5: Solve for x
    x = 91,052,044,096.60/212,235.63
  6. Step 6: Final answer
    x = 429,013.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.