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Finding the Third Proportional to 193,172 and 295,501

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Solution

The third proportional to 193,172 and 295,501 is: 452,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,172 : 295,501 = 295,501 : x
  2. Step 2: Convert to fraction form
    193,172/295,501 = 295,501/x
  3. Step 3: Cross multiply
    193,172x = 295,501 × 295,501
  4. Step 4: Simplify right side
    193,172x = 87,320,841,001
  5. Step 5: Solve for x
    x = 87,320,841,001/193,172
  6. Step 6: Final answer
    x = 452,036.74

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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.