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Finding the Third Proportional to 123,392 and 269,120

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Solution

The third proportional to 123,392 and 269,120 is: 586,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,392 : 269,120 = 269,120 : x
  2. Step 2: Convert to fraction form
    123,392/269,120 = 269,120/x
  3. Step 3: Cross multiply
    123,392x = 269,120 × 269,120
  4. Step 4: Simplify right side
    123,392x = 72,425,574,400
  5. Step 5: Solve for x
    x = 72,425,574,400/123,392
  6. Step 6: Final answer
    x = 586,955.19

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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.