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Finding the Third Proportional to 183,744 and 260,065

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Solution

The third proportional to 183,744 and 260,065 is: 368,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,744 : 260,065 = 260,065 : x
  2. Step 2: Convert to fraction form
    183,744/260,065 = 260,065/x
  3. Step 3: Cross multiply
    183,744x = 260,065 × 260,065
  4. Step 4: Simplify right side
    183,744x = 67,633,804,225
  5. Step 5: Solve for x
    x = 67,633,804,225/183,744
  6. Step 6: Final answer
    x = 368,087.14

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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.