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Finding the Third Proportional to 183,566.25 and 285,819.75

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Solution

The third proportional to 183,566.25 and 285,819.75 is: 445,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,566.25 : 285,819.75 = 285,819.75 : x
  2. Step 2: Convert to fraction form
    183,566.25/285,819.75 = 285,819.75/x
  3. Step 3: Cross multiply
    183,566.25x = 285,819.75 × 285,819.75
  4. Step 4: Simplify right side
    183,566.25x = 81,692,929,490.06
  5. Step 5: Solve for x
    x = 81,692,929,490.06/183,566.25
  6. Step 6: Final answer
    x = 445,032.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.