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Finding the Third Proportional to 123,275.25 and 262,436.63

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Solution

The third proportional to 123,275.25 and 262,436.63 is: 558,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,275.25 : 262,436.63 = 262,436.63 : x
  2. Step 2: Convert to fraction form
    123,275.25/262,436.63 = 262,436.63/x
  3. Step 3: Cross multiply
    123,275.25x = 262,436.63 × 262,436.63
  4. Step 4: Simplify right side
    123,275.25x = 68,872,982,141.39
  5. Step 5: Solve for x
    x = 68,872,982,141.39/123,275.25
  6. Step 6: Final answer
    x = 558,692.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.