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Finding the Third Proportional to 193,282 and 392,028

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Solution

The third proportional to 193,282 and 392,028 is: 795,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,282 : 392,028 = 392,028 : x
  2. Step 2: Convert to fraction form
    193,282/392,028 = 392,028/x
  3. Step 3: Cross multiply
    193,282x = 392,028 × 392,028
  4. Step 4: Simplify right side
    193,282x = 153,685,952,784
  5. Step 5: Solve for x
    x = 153,685,952,784/193,282
  6. Step 6: Final answer
    x = 795,138.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.