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Finding the Third Proportional to 228,615.75 and 356,007.75

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Solution

The third proportional to 228,615.75 and 356,007.75 is: 554,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,615.75 : 356,007.75 = 356,007.75 : x
  2. Step 2: Convert to fraction form
    228,615.75/356,007.75 = 356,007.75/x
  3. Step 3: Cross multiply
    228,615.75x = 356,007.75 × 356,007.75
  4. Step 4: Simplify right side
    228,615.75x = 126,741,518,060.06
  5. Step 5: Solve for x
    x = 126,741,518,060.06/228,615.75
  6. Step 6: Final answer
    x = 554,386.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.