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Finding the Third Proportional to 118,372.50 and 256,986

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Solution

The third proportional to 118,372.50 and 256,986 is: 557,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,372.50 : 256,986 = 256,986 : x
  2. Step 2: Convert to fraction form
    118,372.50/256,986 = 256,986/x
  3. Step 3: Cross multiply
    118,372.50x = 256,986 × 256,986
  4. Step 4: Simplify right side
    118,372.50x = 66,041,804,196
  5. Step 5: Solve for x
    x = 66,041,804,196/118,372.50
  6. Step 6: Final answer
    x = 557,915.09

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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.