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Finding the Third Proportional to 191,652 and 409,575

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Solution

The third proportional to 191,652 and 409,575 is: 875,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,652 : 409,575 = 409,575 : x
  2. Step 2: Convert to fraction form
    191,652/409,575 = 409,575/x
  3. Step 3: Cross multiply
    191,652x = 409,575 × 409,575
  4. Step 4: Simplify right side
    191,652x = 167,751,680,625
  5. Step 5: Solve for x
    x = 167,751,680,625/191,652
  6. Step 6: Final answer
    x = 875,293.14

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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.