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Finding the Third Proportional to 193,842 and 411,160

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Solution

The third proportional to 193,842 and 411,160 is: 872,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,842 : 411,160 = 411,160 : x
  2. Step 2: Convert to fraction form
    193,842/411,160 = 411,160/x
  3. Step 3: Cross multiply
    193,842x = 411,160 × 411,160
  4. Step 4: Simplify right side
    193,842x = 169,052,545,600
  5. Step 5: Solve for x
    x = 169,052,545,600/193,842
  6. Step 6: Final answer
    x = 872,115.15

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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.