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Finding the Third Proportional to 212,139 and 248,406.75

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Solution

The third proportional to 212,139 and 248,406.75 is: 290,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,139 : 248,406.75 = 248,406.75 : x
  2. Step 2: Convert to fraction form
    212,139/248,406.75 = 248,406.75/x
  3. Step 3: Cross multiply
    212,139x = 248,406.75 × 248,406.75
  4. Step 4: Simplify right side
    212,139x = 61,705,913,445.56
  5. Step 5: Solve for x
    x = 61,705,913,445.56/212,139
  6. Step 6: Final answer
    x = 290,874.91

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.