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Finding the Third Proportional to 123,280 and 265,837

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Solution

The third proportional to 123,280 and 265,837 is: 573,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,280 : 265,837 = 265,837 : x
  2. Step 2: Convert to fraction form
    123,280/265,837 = 265,837/x
  3. Step 3: Cross multiply
    123,280x = 265,837 × 265,837
  4. Step 4: Simplify right side
    123,280x = 70,669,310,569
  5. Step 5: Solve for x
    x = 70,669,310,569/123,280
  6. Step 6: Final answer
    x = 573,242.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.