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Finding the Third Proportional to 192,815 and 296,552.50

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Solution

The third proportional to 192,815 and 296,552.50 is: 456,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,815 : 296,552.50 = 296,552.50 : x
  2. Step 2: Convert to fraction form
    192,815/296,552.50 = 296,552.50/x
  3. Step 3: Cross multiply
    192,815x = 296,552.50 × 296,552.50
  4. Step 4: Simplify right side
    192,815x = 87,943,385,256.25
  5. Step 5: Solve for x
    x = 87,943,385,256.25/192,815
  6. Step 6: Final answer
    x = 456,102.41

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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.