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Finding the Third Proportional to 244,289.25 and 357,682.50

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Solution

The third proportional to 244,289.25 and 357,682.50 is: 523,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,289.25 : 357,682.50 = 357,682.50 : x
  2. Step 2: Convert to fraction form
    244,289.25/357,682.50 = 357,682.50/x
  3. Step 3: Cross multiply
    244,289.25x = 357,682.50 × 357,682.50
  4. Step 4: Simplify right side
    244,289.25x = 127,936,770,806.25
  5. Step 5: Solve for x
    x = 127,936,770,806.25/244,289.25
  6. Step 6: Final answer
    x = 523,710.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.