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Finding the Third Proportional to 74,351 and 152,326

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Solution

The third proportional to 74,351 and 152,326 is: 312,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,351 : 152,326 = 152,326 : x
  2. Step 2: Convert to fraction form
    74,351/152,326 = 152,326/x
  3. Step 3: Cross multiply
    74,351x = 152,326 × 152,326
  4. Step 4: Simplify right side
    74,351x = 23,203,210,276
  5. Step 5: Solve for x
    x = 23,203,210,276/74,351
  6. Step 6: Final answer
    x = 312,076.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.