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Finding the Third Proportional to 183,729 and 260,048.50

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Solution

The third proportional to 183,729 and 260,048.50 is: 368,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729 : 260,048.50 = 260,048.50 : x
  2. Step 2: Convert to fraction form
    183,729/260,048.50 = 260,048.50/x
  3. Step 3: Cross multiply
    183,729x = 260,048.50 × 260,048.50
  4. Step 4: Simplify right side
    183,729x = 67,625,222,352.25
  5. Step 5: Solve for x
    x = 67,625,222,352.25/183,729
  6. Step 6: Final answer
    x = 368,070.49

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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.