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Finding the Third Proportional to 133,562 and 282,028

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Solution

The third proportional to 133,562 and 282,028 is: 595,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,562 : 282,028 = 282,028 : x
  2. Step 2: Convert to fraction form
    133,562/282,028 = 282,028/x
  3. Step 3: Cross multiply
    133,562x = 282,028 × 282,028
  4. Step 4: Simplify right side
    133,562x = 79,539,792,784
  5. Step 5: Solve for x
    x = 79,539,792,784/133,562
  6. Step 6: Final answer
    x = 595,527.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.