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Finding the Third Proportional to 116,600.25 and 257,702.88

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Solution

The third proportional to 116,600.25 and 257,702.88 is: 569,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,600.25 : 257,702.88 = 257,702.88 : x
  2. Step 2: Convert to fraction form
    116,600.25/257,702.88 = 257,702.88/x
  3. Step 3: Cross multiply
    116,600.25x = 257,702.88 × 257,702.88
  4. Step 4: Simplify right side
    116,600.25x = 66,410,771,783.27
  5. Step 5: Solve for x
    x = 66,410,771,783.27/116,600.25
  6. Step 6: Final answer
    x = 569,559.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.