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Finding the Third Proportional to 239,522.25 and 375,739.88

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Solution

The third proportional to 239,522.25 and 375,739.88 is: 589,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,522.25 : 375,739.88 = 375,739.88 : x
  2. Step 2: Convert to fraction form
    239,522.25/375,739.88 = 375,739.88/x
  3. Step 3: Cross multiply
    239,522.25x = 375,739.88 × 375,739.88
  4. Step 4: Simplify right side
    239,522.25x = 141,180,453,665.02
  5. Step 5: Solve for x
    x = 141,180,453,665.02/239,522.25
  6. Step 6: Final answer
    x = 589,425.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.