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Finding the Third Proportional to 113,149 and 235,595

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Solution

The third proportional to 113,149 and 235,595 is: 490,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,149 : 235,595 = 235,595 : x
  2. Step 2: Convert to fraction form
    113,149/235,595 = 235,595/x
  3. Step 3: Cross multiply
    113,149x = 235,595 × 235,595
  4. Step 4: Simplify right side
    113,149x = 55,505,004,025
  5. Step 5: Solve for x
    x = 55,505,004,025/113,149
  6. Step 6: Final answer
    x = 490,547.90

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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.