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Finding the Third Proportional to 203,140.41 and 438,425.16

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Solution

The third proportional to 203,140.41 and 438,425.16 is: 946,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,140.41 : 438,425.16 = 438,425.16 : x
  2. Step 2: Convert to fraction form
    203,140.41/438,425.16 = 438,425.16/x
  3. Step 3: Cross multiply
    203,140.41x = 438,425.16 × 438,425.16
  4. Step 4: Simplify right side
    203,140.41x = 192,216,617,632.84
  5. Step 5: Solve for x
    x = 192,216,617,632.84/203,140.41
  6. Step 6: Final answer
    x = 946,225.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.