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Finding the Third Proportional to 183,703.50 and 278,325

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Solution

The third proportional to 183,703.50 and 278,325 is: 421,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,703.50 : 278,325 = 278,325 : x
  2. Step 2: Convert to fraction form
    183,703.50/278,325 = 278,325/x
  3. Step 3: Cross multiply
    183,703.50x = 278,325 × 278,325
  4. Step 4: Simplify right side
    183,703.50x = 77,464,805,625
  5. Step 5: Solve for x
    x = 77,464,805,625/183,703.50
  6. Step 6: Final answer
    x = 421,683.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.