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Finding the Third Proportional to 246,766.50 and 392,475.38

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Solution

The third proportional to 246,766.50 and 392,475.38 is: 624,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,766.50 : 392,475.38 = 392,475.38 : x
  2. Step 2: Convert to fraction form
    246,766.50/392,475.38 = 392,475.38/x
  3. Step 3: Cross multiply
    246,766.50x = 392,475.38 × 392,475.38
  4. Step 4: Simplify right side
    246,766.50x = 154,036,919,981.39
  5. Step 5: Solve for x
    x = 154,036,919,981.39/246,766.50
  6. Step 6: Final answer
    x = 624,221.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.