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Finding the Third Proportional to 148,815.75 and 325,575.75

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Solution

The third proportional to 148,815.75 and 325,575.75 is: 712,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,815.75 : 325,575.75 = 325,575.75 : x
  2. Step 2: Convert to fraction form
    148,815.75/325,575.75 = 325,575.75/x
  3. Step 3: Cross multiply
    148,815.75x = 325,575.75 × 325,575.75
  4. Step 4: Simplify right side
    148,815.75x = 105,999,568,988.06
  5. Step 5: Solve for x
    x = 105,999,568,988.06/148,815.75
  6. Step 6: Final answer
    x = 712,287.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.