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Finding the Third Proportional to 123,240 and 258,915

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Solution

The third proportional to 123,240 and 258,915 is: 543,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,240 : 258,915 = 258,915 : x
  2. Step 2: Convert to fraction form
    123,240/258,915 = 258,915/x
  3. Step 3: Cross multiply
    123,240x = 258,915 × 258,915
  4. Step 4: Simplify right side
    123,240x = 67,036,977,225
  5. Step 5: Solve for x
    x = 67,036,977,225/123,240
  6. Step 6: Final answer
    x = 543,954.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.