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Finding the Third Proportional to 228,141 and 344,054

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Solution

The third proportional to 228,141 and 344,054 is: 518,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,141 : 344,054 = 344,054 : x
  2. Step 2: Convert to fraction form
    228,141/344,054 = 344,054/x
  3. Step 3: Cross multiply
    228,141x = 344,054 × 344,054
  4. Step 4: Simplify right side
    228,141x = 118,373,154,916
  5. Step 5: Solve for x
    x = 118,373,154,916/228,141
  6. Step 6: Final answer
    x = 518,859.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.