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Finding the Third Proportional to 113,427 and 245,322

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Solution

The third proportional to 113,427 and 245,322 is: 530,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,427 : 245,322 = 245,322 : x
  2. Step 2: Convert to fraction form
    113,427/245,322 = 245,322/x
  3. Step 3: Cross multiply
    113,427x = 245,322 × 245,322
  4. Step 4: Simplify right side
    113,427x = 60,182,883,684
  5. Step 5: Solve for x
    x = 60,182,883,684/113,427
  6. Step 6: Final answer
    x = 530,586.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.