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Finding the Third Proportional to 123,880.52 and 270,513.11

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Solution

The third proportional to 123,880.52 and 270,513.11 is: 590,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,880.52 : 270,513.11 = 270,513.11 : x
  2. Step 2: Convert to fraction form
    123,880.52/270,513.11 = 270,513.11/x
  3. Step 3: Cross multiply
    123,880.52x = 270,513.11 × 270,513.11
  4. Step 4: Simplify right side
    123,880.52x = 73,177,340,230.35
  5. Step 5: Solve for x
    x = 73,177,340,230.35/123,880.52
  6. Step 6: Final answer
    x = 590,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.