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Finding the Third Proportional to 123,602 and 270,436

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Solution

The third proportional to 123,602 and 270,436 is: 591,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,602 : 270,436 = 270,436 : x
  2. Step 2: Convert to fraction form
    123,602/270,436 = 270,436/x
  3. Step 3: Cross multiply
    123,602x = 270,436 × 270,436
  4. Step 4: Simplify right side
    123,602x = 73,135,630,096
  5. Step 5: Solve for x
    x = 73,135,630,096/123,602
  6. Step 6: Final answer
    x = 591,702.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.