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Finding the Third Proportional to 227,134.75 and 477,802.25

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Solution

The third proportional to 227,134.75 and 477,802.25 is: 1,005,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,134.75 : 477,802.25 = 477,802.25 : x
  2. Step 2: Convert to fraction form
    227,134.75/477,802.25 = 477,802.25/x
  3. Step 3: Cross multiply
    227,134.75x = 477,802.25 × 477,802.25
  4. Step 4: Simplify right side
    227,134.75x = 228,294,990,105.06
  5. Step 5: Solve for x
    x = 228,294,990,105.06/227,134.75
  6. Step 6: Final answer
    x = 1,005,108.16

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Why These Related Problems?

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