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Finding the Third Proportional to 246,261.38 and 522,176.63

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Solution

The third proportional to 246,261.38 and 522,176.63 is: 1,107,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,261.38 : 522,176.63 = 522,176.63 : x
  2. Step 2: Convert to fraction form
    246,261.38/522,176.63 = 522,176.63/x
  3. Step 3: Cross multiply
    246,261.38x = 522,176.63 × 522,176.63
  4. Step 4: Simplify right side
    246,261.38x = 272,668,427,696.39
  5. Step 5: Solve for x
    x = 272,668,427,696.39/246,261.38
  6. Step 6: Final answer
    x = 1,107,231.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.