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Finding the Third Proportional to 118,307.30 and 256,682.04

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Solution

The third proportional to 118,307.30 and 256,682.04 is: 556,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,307.30 : 256,682.04 = 256,682.04 : x
  2. Step 2: Convert to fraction form
    118,307.30/256,682.04 = 256,682.04/x
  3. Step 3: Cross multiply
    118,307.30x = 256,682.04 × 256,682.04
  4. Step 4: Simplify right side
    118,307.30x = 65,885,669,177.28
  5. Step 5: Solve for x
    x = 65,885,669,177.28/118,307.30
  6. Step 6: Final answer
    x = 556,902.81

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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.