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Finding the Third Proportional to 117,098 and 256,956

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Solution

The third proportional to 117,098 and 256,956 is: 563,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098 : 256,956 = 256,956 : x
  2. Step 2: Convert to fraction form
    117,098/256,956 = 256,956/x
  3. Step 3: Cross multiply
    117,098x = 256,956 × 256,956
  4. Step 4: Simplify right side
    117,098x = 66,026,385,936
  5. Step 5: Solve for x
    x = 66,026,385,936/117,098
  6. Step 6: Final answer
    x = 563,855.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.