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Finding the Third Proportional to 246,056 and 323,088

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Solution

The third proportional to 246,056 and 323,088 is: 424,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,056 : 323,088 = 323,088 : x
  2. Step 2: Convert to fraction form
    246,056/323,088 = 323,088/x
  3. Step 3: Cross multiply
    246,056x = 323,088 × 323,088
  4. Step 4: Simplify right side
    246,056x = 104,385,855,744
  5. Step 5: Solve for x
    x = 104,385,855,744/246,056
  6. Step 6: Final answer
    x = 424,236.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.