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Finding the Third Proportional to 193,888 and 411,216

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Solution

The third proportional to 193,888 and 411,216 is: 872,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,888 : 411,216 = 411,216 : x
  2. Step 2: Convert to fraction form
    193,888/411,216 = 411,216/x
  3. Step 3: Cross multiply
    193,888x = 411,216 × 411,216
  4. Step 4: Simplify right side
    193,888x = 169,098,598,656
  5. Step 5: Solve for x
    x = 169,098,598,656/193,888
  6. Step 6: Final answer
    x = 872,145.77

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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.