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Finding the Third Proportional to 113,402 and 248,512

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Solution

The third proportional to 113,402 and 248,512 is: 544,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,402 : 248,512 = 248,512 : x
  2. Step 2: Convert to fraction form
    113,402/248,512 = 248,512/x
  3. Step 3: Cross multiply
    113,402x = 248,512 × 248,512
  4. Step 4: Simplify right side
    113,402x = 61,758,214,144
  5. Step 5: Solve for x
    x = 61,758,214,144/113,402
  6. Step 6: Final answer
    x = 544,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.