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Finding the Third Proportional to 193,948 and 411,376

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Solution

The third proportional to 193,948 and 411,376 is: 872,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,948 : 411,376 = 411,376 : x
  2. Step 2: Convert to fraction form
    193,948/411,376 = 411,376/x
  3. Step 3: Cross multiply
    193,948x = 411,376 × 411,376
  4. Step 4: Simplify right side
    193,948x = 169,230,213,376
  5. Step 5: Solve for x
    x = 169,230,213,376/193,948
  6. Step 6: Final answer
    x = 872,554.57

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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.