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Finding the Third Proportional to 238,153 and 513,696

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Solution

The third proportional to 238,153 and 513,696 is: 1,108,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,153 : 513,696 = 513,696 : x
  2. Step 2: Convert to fraction form
    238,153/513,696 = 513,696/x
  3. Step 3: Cross multiply
    238,153x = 513,696 × 513,696
  4. Step 4: Simplify right side
    238,153x = 263,883,580,416
  5. Step 5: Solve for x
    x = 263,883,580,416/238,153
  6. Step 6: Final answer
    x = 1,108,042.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.