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Finding the Third Proportional to 113,954 and 245,412

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Solution

The third proportional to 113,954 and 245,412 is: 528,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954 : 245,412 = 245,412 : x
  2. Step 2: Convert to fraction form
    113,954/245,412 = 245,412/x
  3. Step 3: Cross multiply
    113,954x = 245,412 × 245,412
  4. Step 4: Simplify right side
    113,954x = 60,227,049,744
  5. Step 5: Solve for x
    x = 60,227,049,744/113,954
  6. Step 6: Final answer
    x = 528,520.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.