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Finding the Third Proportional to 158,489 and 341,947

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Solution

The third proportional to 158,489 and 341,947 is: 737,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,489 : 341,947 = 341,947 : x
  2. Step 2: Convert to fraction form
    158,489/341,947 = 341,947/x
  3. Step 3: Cross multiply
    158,489x = 341,947 × 341,947
  4. Step 4: Simplify right side
    158,489x = 116,927,750,809
  5. Step 5: Solve for x
    x = 116,927,750,809/158,489
  6. Step 6: Final answer
    x = 737,765.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.