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Finding the Third Proportional to 192,967.50 and 296,940

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Solution

The third proportional to 192,967.50 and 296,940 is: 456,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,967.50 : 296,940 = 296,940 : x
  2. Step 2: Convert to fraction form
    192,967.50/296,940 = 296,940/x
  3. Step 3: Cross multiply
    192,967.50x = 296,940 × 296,940
  4. Step 4: Simplify right side
    192,967.50x = 88,173,363,600
  5. Step 5: Solve for x
    x = 88,173,363,600/192,967.50
  6. Step 6: Final answer
    x = 456,933.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.