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Finding the Third Proportional to 176,331 and 256,947

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Solution

The third proportional to 176,331 and 256,947 is: 374,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,331 : 256,947 = 256,947 : x
  2. Step 2: Convert to fraction form
    176,331/256,947 = 256,947/x
  3. Step 3: Cross multiply
    176,331x = 256,947 × 256,947
  4. Step 4: Simplify right side
    176,331x = 66,021,760,809
  5. Step 5: Solve for x
    x = 66,021,760,809/176,331
  6. Step 6: Final answer
    x = 374,419.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.