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Finding the Third Proportional to 113,330 and 264,695

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Solution

The third proportional to 113,330 and 264,695 is: 618,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,330 : 264,695 = 264,695 : x
  2. Step 2: Convert to fraction form
    113,330/264,695 = 264,695/x
  3. Step 3: Cross multiply
    113,330x = 264,695 × 264,695
  4. Step 4: Simplify right side
    113,330x = 70,063,443,025
  5. Step 5: Solve for x
    x = 70,063,443,025/113,330
  6. Step 6: Final answer
    x = 618,225.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.