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Finding the Third Proportional to 125,433.75 and 270,307.50

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Solution

The third proportional to 125,433.75 and 270,307.50 is: 582,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,433.75 : 270,307.50 = 270,307.50 : x
  2. Step 2: Convert to fraction form
    125,433.75/270,307.50 = 270,307.50/x
  3. Step 3: Cross multiply
    125,433.75x = 270,307.50 × 270,307.50
  4. Step 4: Simplify right side
    125,433.75x = 73,066,144,556.25
  5. Step 5: Solve for x
    x = 73,066,144,556.25/125,433.75
  6. Step 6: Final answer
    x = 582,507.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.