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Finding the Third Proportional to 113,052 and 235,407

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Solution

The third proportional to 113,052 and 235,407 is: 490,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,052 : 235,407 = 235,407 : x
  2. Step 2: Convert to fraction form
    113,052/235,407 = 235,407/x
  3. Step 3: Cross multiply
    113,052x = 235,407 × 235,407
  4. Step 4: Simplify right side
    113,052x = 55,416,455,649
  5. Step 5: Solve for x
    x = 55,416,455,649/113,052
  6. Step 6: Final answer
    x = 490,185.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.