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Finding the Third Proportional to 246,771.56 and 538,164

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Solution

The third proportional to 246,771.56 and 538,164 is: 1,173,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,771.56 : 538,164 = 538,164 : x
  2. Step 2: Convert to fraction form
    246,771.56/538,164 = 538,164/x
  3. Step 3: Cross multiply
    246,771.56x = 538,164 × 538,164
  4. Step 4: Simplify right side
    246,771.56x = 289,620,490,896
  5. Step 5: Solve for x
    x = 289,620,490,896/246,771.56
  6. Step 6: Final answer
    x = 1,173,638.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.