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Finding the Third Proportional to 193,212 and 295,581

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Solution

The third proportional to 193,212 and 295,581 is: 452,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,212 : 295,581 = 295,581 : x
  2. Step 2: Convert to fraction form
    193,212/295,581 = 295,581/x
  3. Step 3: Cross multiply
    193,212x = 295,581 × 295,581
  4. Step 4: Simplify right side
    193,212x = 87,368,127,561
  5. Step 5: Solve for x
    x = 87,368,127,561/193,212
  6. Step 6: Final answer
    x = 452,187.89

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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.