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Finding the Third Proportional to 173,912 and 232,948

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Solution

The third proportional to 173,912 and 232,948 is: 312,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,912 : 232,948 = 232,948 : x
  2. Step 2: Convert to fraction form
    173,912/232,948 = 232,948/x
  3. Step 3: Cross multiply
    173,912x = 232,948 × 232,948
  4. Step 4: Simplify right side
    173,912x = 54,264,770,704
  5. Step 5: Solve for x
    x = 54,264,770,704/173,912
  6. Step 6: Final answer
    x = 312,024.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.