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Finding the Third Proportional to 196,192 and 426,528

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Solution

The third proportional to 196,192 and 426,528 is: 927,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,192 : 426,528 = 426,528 : x
  2. Step 2: Convert to fraction form
    196,192/426,528 = 426,528/x
  3. Step 3: Cross multiply
    196,192x = 426,528 × 426,528
  4. Step 4: Simplify right side
    196,192x = 181,926,134,784
  5. Step 5: Solve for x
    x = 181,926,134,784/196,192
  6. Step 6: Final answer
    x = 927,286.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.