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Finding the Third Proportional to 183,735 and 260,057

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Solution

The third proportional to 183,735 and 260,057 is: 368,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,735 : 260,057 = 260,057 : x
  2. Step 2: Convert to fraction form
    183,735/260,057 = 260,057/x
  3. Step 3: Cross multiply
    183,735x = 260,057 × 260,057
  4. Step 4: Simplify right side
    183,735x = 67,629,643,249
  5. Step 5: Solve for x
    x = 67,629,643,249/183,735
  6. Step 6: Final answer
    x = 368,082.53

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Why These Related Problems?

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