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Finding the Third Proportional to 158,488.50 and 232,881

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Solution

The third proportional to 158,488.50 and 232,881 is: 342,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,488.50 : 232,881 = 232,881 : x
  2. Step 2: Convert to fraction form
    158,488.50/232,881 = 232,881/x
  3. Step 3: Cross multiply
    158,488.50x = 232,881 × 232,881
  4. Step 4: Simplify right side
    158,488.50x = 54,233,560,161
  5. Step 5: Solve for x
    x = 54,233,560,161/158,488.50
  6. Step 6: Final answer
    x = 342,192.40

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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.