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Finding the Third Proportional to 183,348.56 and 283,656.94

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Solution

The third proportional to 183,348.56 and 283,656.94 is: 438,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,348.56 : 283,656.94 = 283,656.94 : x
  2. Step 2: Convert to fraction form
    183,348.56/283,656.94 = 283,656.94/x
  3. Step 3: Cross multiply
    183,348.56x = 283,656.94 × 283,656.94
  4. Step 4: Simplify right side
    183,348.56x = 80,461,258,191.88
  5. Step 5: Solve for x
    x = 80,461,258,191.88/183,348.56
  6. Step 6: Final answer
    x = 438,843.14

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