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Finding the Third Proportional to 203,954.41 and 432,220.43

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Solution

The third proportional to 203,954.41 and 432,220.43 is: 915,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,954.41 : 432,220.43 = 432,220.43 : x
  2. Step 2: Convert to fraction form
    203,954.41/432,220.43 = 432,220.43/x
  3. Step 3: Cross multiply
    203,954.41x = 432,220.43 × 432,220.43
  4. Step 4: Simplify right side
    203,954.41x = 186,814,499,839.25
  5. Step 5: Solve for x
    x = 186,814,499,839.25/203,954.41
  6. Step 6: Final answer
    x = 915,962.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.