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Finding the Third Proportional to 192,644 and 296,468

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Solution

The third proportional to 192,644 and 296,468 is: 456,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,644 : 296,468 = 296,468 : x
  2. Step 2: Convert to fraction form
    192,644/296,468 = 296,468/x
  3. Step 3: Cross multiply
    192,644x = 296,468 × 296,468
  4. Step 4: Simplify right side
    192,644x = 87,893,275,024
  5. Step 5: Solve for x
    x = 87,893,275,024/192,644
  6. Step 6: Final answer
    x = 456,247.15

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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.