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Finding the Third Proportional to 190,000 and 406,352

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Solution

The third proportional to 190,000 and 406,352 is: 869,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,000 : 406,352 = 406,352 : x
  2. Step 2: Convert to fraction form
    190,000/406,352 = 406,352/x
  3. Step 3: Cross multiply
    190,000x = 406,352 × 406,352
  4. Step 4: Simplify right side
    190,000x = 165,121,947,904
  5. Step 5: Solve for x
    x = 165,121,947,904/190,000
  6. Step 6: Final answer
    x = 869,062.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.