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Finding the Third Proportional to 246,018 and 367,128.50

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Solution

The third proportional to 246,018 and 367,128.50 is: 547,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,018 : 367,128.50 = 367,128.50 : x
  2. Step 2: Convert to fraction form
    246,018/367,128.50 = 367,128.50/x
  3. Step 3: Cross multiply
    246,018x = 367,128.50 × 367,128.50
  4. Step 4: Simplify right side
    246,018x = 134,783,335,512.25
  5. Step 5: Solve for x
    x = 134,783,335,512.25/246,018
  6. Step 6: Final answer
    x = 547,859.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.