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Finding the Third Proportional to 113,146 and 235,594

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Solution

The third proportional to 113,146 and 235,594 is: 490,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,146 : 235,594 = 235,594 : x
  2. Step 2: Convert to fraction form
    113,146/235,594 = 235,594/x
  3. Step 3: Cross multiply
    113,146x = 235,594 × 235,594
  4. Step 4: Simplify right side
    113,146x = 55,504,532,836
  5. Step 5: Solve for x
    x = 55,504,532,836/113,146
  6. Step 6: Final answer
    x = 490,556.74

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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.