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Finding the Third Proportional to 183,685.50 and 283,712.75

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Solution

The third proportional to 183,685.50 and 283,712.75 is: 438,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,685.50 : 283,712.75 = 283,712.75 : x
  2. Step 2: Convert to fraction form
    183,685.50/283,712.75 = 283,712.75/x
  3. Step 3: Cross multiply
    183,685.50x = 283,712.75 × 283,712.75
  4. Step 4: Simplify right side
    183,685.50x = 80,492,924,512.56
  5. Step 5: Solve for x
    x = 80,492,924,512.56/183,685.50
  6. Step 6: Final answer
    x = 438,210.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.