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Finding the Third Proportional to 193,854 and 411,184

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Solution

The third proportional to 193,854 and 411,184 is: 872,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,854 : 411,184 = 411,184 : x
  2. Step 2: Convert to fraction form
    193,854/411,184 = 411,184/x
  3. Step 3: Cross multiply
    193,854x = 411,184 × 411,184
  4. Step 4: Simplify right side
    193,854x = 169,072,281,856
  5. Step 5: Solve for x
    x = 169,072,281,856/193,854
  6. Step 6: Final answer
    x = 872,162.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.