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Finding the Third Proportional to 254,055.45 and 371,542.78

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Solution

The third proportional to 254,055.45 and 371,542.78 is: 543,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,055.45 : 371,542.78 = 371,542.78 : x
  2. Step 2: Convert to fraction form
    254,055.45/371,542.78 = 371,542.78/x
  3. Step 3: Cross multiply
    254,055.45x = 371,542.78 × 371,542.78
  4. Step 4: Simplify right side
    254,055.45x = 138,044,038,298.99
  5. Step 5: Solve for x
    x = 138,044,038,298.99/254,055.45
  6. Step 6: Final answer
    x = 543,361.86

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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.