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Finding the Third Proportional to 228,276 and 354,846.94

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Solution

The third proportional to 228,276 and 354,846.94 is: 551,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,276 : 354,846.94 = 354,846.94 : x
  2. Step 2: Convert to fraction form
    228,276/354,846.94 = 354,846.94/x
  3. Step 3: Cross multiply
    228,276x = 354,846.94 × 354,846.94
  4. Step 4: Simplify right side
    228,276x = 125,916,349,053.13
  5. Step 5: Solve for x
    x = 125,916,349,053.13/228,276
  6. Step 6: Final answer
    x = 551,596.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.