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Finding the Third Proportional to 117,537.75 and 254,758.50

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Solution

The third proportional to 117,537.75 and 254,758.50 is: 552,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537.75 : 254,758.50 = 254,758.50 : x
  2. Step 2: Convert to fraction form
    117,537.75/254,758.50 = 254,758.50/x
  3. Step 3: Cross multiply
    117,537.75x = 254,758.50 × 254,758.50
  4. Step 4: Simplify right side
    117,537.75x = 64,901,893,322.25
  5. Step 5: Solve for x
    x = 64,901,893,322.25/117,537.75
  6. Step 6: Final answer
    x = 552,179.14

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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.