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Finding the Third Proportional to 259,915.50 and 325,355.06

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Solution

The third proportional to 259,915.50 and 325,355.06 is: 407,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,915.50 : 325,355.06 = 325,355.06 : x
  2. Step 2: Convert to fraction form
    259,915.50/325,355.06 = 325,355.06/x
  3. Step 3: Cross multiply
    259,915.50x = 325,355.06 × 325,355.06
  4. Step 4: Simplify right side
    259,915.50x = 105,855,916,694.38
  5. Step 5: Solve for x
    x = 105,855,916,694.38/259,915.50
  6. Step 6: Final answer
    x = 407,270.50

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.