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Finding the Third Proportional to 158,472 and 232,992

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Solution

The third proportional to 158,472 and 232,992 is: 342,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,472 : 232,992 = 232,992 : x
  2. Step 2: Convert to fraction form
    158,472/232,992 = 232,992/x
  3. Step 3: Cross multiply
    158,472x = 232,992 × 232,992
  4. Step 4: Simplify right side
    158,472x = 54,285,272,064
  5. Step 5: Solve for x
    x = 54,285,272,064/158,472
  6. Step 6: Final answer
    x = 342,554.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.