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Finding the Third Proportional to 117,696 and 254,946

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Solution

The third proportional to 117,696 and 254,946 is: 552,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696 : 254,946 = 254,946 : x
  2. Step 2: Convert to fraction form
    117,696/254,946 = 254,946/x
  3. Step 3: Cross multiply
    117,696x = 254,946 × 254,946
  4. Step 4: Simplify right side
    117,696x = 64,997,462,916
  5. Step 5: Solve for x
    x = 64,997,462,916/117,696
  6. Step 6: Final answer
    x = 552,248.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.