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Finding the Third Proportional to 123,630 and 264,755

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Solution

The third proportional to 123,630 and 264,755 is: 566,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,630 : 264,755 = 264,755 : x
  2. Step 2: Convert to fraction form
    123,630/264,755 = 264,755/x
  3. Step 3: Cross multiply
    123,630x = 264,755 × 264,755
  4. Step 4: Simplify right side
    123,630x = 70,095,210,025
  5. Step 5: Solve for x
    x = 70,095,210,025/123,630
  6. Step 6: Final answer
    x = 566,975.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.