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Finding the Third Proportional to 183,709 and 260,019.50

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Solution

The third proportional to 183,709 and 260,019.50 is: 368,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,709 : 260,019.50 = 260,019.50 : x
  2. Step 2: Convert to fraction form
    183,709/260,019.50 = 260,019.50/x
  3. Step 3: Cross multiply
    183,709x = 260,019.50 × 260,019.50
  4. Step 4: Simplify right side
    183,709x = 67,610,140,380.25
  5. Step 5: Solve for x
    x = 67,610,140,380.25/183,709
  6. Step 6: Final answer
    x = 368,028.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.