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Finding the Third Proportional to 193,070 and 295,349

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Solution

The third proportional to 193,070 and 295,349 is: 451,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,070 : 295,349 = 295,349 : x
  2. Step 2: Convert to fraction form
    193,070/295,349 = 295,349/x
  3. Step 3: Cross multiply
    193,070x = 295,349 × 295,349
  4. Step 4: Simplify right side
    193,070x = 87,231,031,801
  5. Step 5: Solve for x
    x = 87,231,031,801/193,070
  6. Step 6: Final answer
    x = 451,810.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.