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Finding the Third Proportional to 152,722 and 232,324

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Solution

The third proportional to 152,722 and 232,324 is: 353,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,722 : 232,324 = 232,324 : x
  2. Step 2: Convert to fraction form
    152,722/232,324 = 232,324/x
  3. Step 3: Cross multiply
    152,722x = 232,324 × 232,324
  4. Step 4: Simplify right side
    152,722x = 53,974,440,976
  5. Step 5: Solve for x
    x = 53,974,440,976/152,722
  6. Step 6: Final answer
    x = 353,416.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.