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Finding the Third Proportional to 246,503 and 352,254

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Solution

The third proportional to 246,503 and 352,254 is: 503,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,503 : 352,254 = 352,254 : x
  2. Step 2: Convert to fraction form
    246,503/352,254 = 352,254/x
  3. Step 3: Cross multiply
    246,503x = 352,254 × 352,254
  4. Step 4: Simplify right side
    246,503x = 124,082,880,516
  5. Step 5: Solve for x
    x = 124,082,880,516/246,503
  6. Step 6: Final answer
    x = 503,372.70

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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.