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Finding the Third Proportional to 183,577.50 and 283,668.75

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Solution

The third proportional to 183,577.50 and 283,668.75 is: 438,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,577.50 : 283,668.75 = 283,668.75 : x
  2. Step 2: Convert to fraction form
    183,577.50/283,668.75 = 283,668.75/x
  3. Step 3: Cross multiply
    183,577.50x = 283,668.75 × 283,668.75
  4. Step 4: Simplify right side
    183,577.50x = 80,467,959,726.56
  5. Step 5: Solve for x
    x = 80,467,959,726.56/183,577.50
  6. Step 6: Final answer
    x = 438,332.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.