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Finding the Third Proportional to 193,875 and 279,237

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Solution

The third proportional to 193,875 and 279,237 is: 402,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,875 : 279,237 = 279,237 : x
  2. Step 2: Convert to fraction form
    193,875/279,237 = 279,237/x
  3. Step 3: Cross multiply
    193,875x = 279,237 × 279,237
  4. Step 4: Simplify right side
    193,875x = 77,973,302,169
  5. Step 5: Solve for x
    x = 77,973,302,169/193,875
  6. Step 6: Final answer
    x = 402,183.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.