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Finding the Third Proportional to 183,783 and 272,200.50

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Solution

The third proportional to 183,783 and 272,200.50 is: 403,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,783 : 272,200.50 = 272,200.50 : x
  2. Step 2: Convert to fraction form
    183,783/272,200.50 = 272,200.50/x
  3. Step 3: Cross multiply
    183,783x = 272,200.50 × 272,200.50
  4. Step 4: Simplify right side
    183,783x = 74,093,112,200.25
  5. Step 5: Solve for x
    x = 74,093,112,200.25/183,783
  6. Step 6: Final answer
    x = 403,155.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.