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Finding the Third Proportional to 193,206 and 295,572

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Solution

The third proportional to 193,206 and 295,572 is: 452,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,206 : 295,572 = 295,572 : x
  2. Step 2: Convert to fraction form
    193,206/295,572 = 295,572/x
  3. Step 3: Cross multiply
    193,206x = 295,572 × 295,572
  4. Step 4: Simplify right side
    193,206x = 87,362,807,184
  5. Step 5: Solve for x
    x = 87,362,807,184/193,206
  6. Step 6: Final answer
    x = 452,174.40

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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.