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Finding the Third Proportional to 183,535.88 and 389,103.75

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Solution

The third proportional to 183,535.88 and 389,103.75 is: 824,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,535.88 : 389,103.75 = 389,103.75 : x
  2. Step 2: Convert to fraction form
    183,535.88/389,103.75 = 389,103.75/x
  3. Step 3: Cross multiply
    183,535.88x = 389,103.75 × 389,103.75
  4. Step 4: Simplify right side
    183,535.88x = 151,401,728,264.06
  5. Step 5: Solve for x
    x = 151,401,728,264.06/183,535.88
  6. Step 6: Final answer
    x = 824,916.26

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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.