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Finding the Third Proportional to 194,078 and 424,246

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Solution

The third proportional to 194,078 and 424,246 is: 927,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,078 : 424,246 = 424,246 : x
  2. Step 2: Convert to fraction form
    194,078/424,246 = 424,246/x
  3. Step 3: Cross multiply
    194,078x = 424,246 × 424,246
  4. Step 4: Simplify right side
    194,078x = 179,984,668,516
  5. Step 5: Solve for x
    x = 179,984,668,516/194,078
  6. Step 6: Final answer
    x = 927,383.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.