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Finding the Third Proportional to 118,533.38 and 256,749.75

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Solution

The third proportional to 118,533.38 and 256,749.75 is: 556,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,533.38 : 256,749.75 = 256,749.75 : x
  2. Step 2: Convert to fraction form
    118,533.38/256,749.75 = 256,749.75/x
  3. Step 3: Cross multiply
    118,533.38x = 256,749.75 × 256,749.75
  4. Step 4: Simplify right side
    118,533.38x = 65,920,434,125.06
  5. Step 5: Solve for x
    x = 65,920,434,125.06/118,533.38
  6. Step 6: Final answer
    x = 556,133.95

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