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Finding the Third Proportional to 113,402 and 243,652

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Solution

The third proportional to 113,402 and 243,652 is: 523,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,402 : 243,652 = 243,652 : x
  2. Step 2: Convert to fraction form
    113,402/243,652 = 243,652/x
  3. Step 3: Cross multiply
    113,402x = 243,652 × 243,652
  4. Step 4: Simplify right side
    113,402x = 59,366,297,104
  5. Step 5: Solve for x
    x = 59,366,297,104/113,402
  6. Step 6: Final answer
    x = 523,503.09

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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.