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Finding the Third Proportional to 175,396 and 384,110

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Solution

The third proportional to 175,396 and 384,110 is: 841,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,396 : 384,110 = 384,110 : x
  2. Step 2: Convert to fraction form
    175,396/384,110 = 384,110/x
  3. Step 3: Cross multiply
    175,396x = 384,110 × 384,110
  4. Step 4: Simplify right side
    175,396x = 147,540,492,100
  5. Step 5: Solve for x
    x = 147,540,492,100/175,396
  6. Step 6: Final answer
    x = 841,185.04

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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.