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Finding the Third Proportional to 123,557 and 269,290

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Solution

The third proportional to 123,557 and 269,290 is: 586,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,557 : 269,290 = 269,290 : x
  2. Step 2: Convert to fraction form
    123,557/269,290 = 269,290/x
  3. Step 3: Cross multiply
    123,557x = 269,290 × 269,290
  4. Step 4: Simplify right side
    123,557x = 72,517,104,100
  5. Step 5: Solve for x
    x = 72,517,104,100/123,557
  6. Step 6: Final answer
    x = 586,912.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.