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Finding the Third Proportional to 192,538 and 296,332

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Solution

The third proportional to 192,538 and 296,332 is: 456,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,538 : 296,332 = 296,332 : x
  2. Step 2: Convert to fraction form
    192,538/296,332 = 296,332/x
  3. Step 3: Cross multiply
    192,538x = 296,332 × 296,332
  4. Step 4: Simplify right side
    192,538x = 87,812,654,224
  5. Step 5: Solve for x
    x = 87,812,654,224/192,538
  6. Step 6: Final answer
    x = 456,079.60

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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.