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Finding the Third Proportional to 193,178 and 407,332

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Solution

The third proportional to 193,178 and 407,332 is: 858,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,178 : 407,332 = 407,332 : x
  2. Step 2: Convert to fraction form
    193,178/407,332 = 407,332/x
  3. Step 3: Cross multiply
    193,178x = 407,332 × 407,332
  4. Step 4: Simplify right side
    193,178x = 165,919,358,224
  5. Step 5: Solve for x
    x = 165,919,358,224/193,178
  6. Step 6: Final answer
    x = 858,893.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.