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Finding the Third Proportional to 192,484 and 296,240

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Solution

The third proportional to 192,484 and 296,240 is: 455,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,484 : 296,240 = 296,240 : x
  2. Step 2: Convert to fraction form
    192,484/296,240 = 296,240/x
  3. Step 3: Cross multiply
    192,484x = 296,240 × 296,240
  4. Step 4: Simplify right side
    192,484x = 87,758,137,600
  5. Step 5: Solve for x
    x = 87,758,137,600/192,484
  6. Step 6: Final answer
    x = 455,924.32

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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.