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Finding the Third Proportional to 246,402 and 352,107

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Solution

The third proportional to 246,402 and 352,107 is: 503,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,402 : 352,107 = 352,107 : x
  2. Step 2: Convert to fraction form
    246,402/352,107 = 352,107/x
  3. Step 3: Cross multiply
    246,402x = 352,107 × 352,107
  4. Step 4: Simplify right side
    246,402x = 123,979,339,449
  5. Step 5: Solve for x
    x = 123,979,339,449/246,402
  6. Step 6: Final answer
    x = 503,158.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.