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Finding the Third Proportional to 183,710 and 260,022

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Solution

The third proportional to 183,710 and 260,022 is: 368,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,710 : 260,022 = 260,022 : x
  2. Step 2: Convert to fraction form
    183,710/260,022 = 260,022/x
  3. Step 3: Cross multiply
    183,710x = 260,022 × 260,022
  4. Step 4: Simplify right side
    183,710x = 67,611,440,484
  5. Step 5: Solve for x
    x = 67,611,440,484/183,710
  6. Step 6: Final answer
    x = 368,033.53

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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.