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Finding the Third Proportional to 65,650 and 158,278

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Solution

The third proportional to 65,650 and 158,278 is: 381,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650 : 158,278 = 158,278 : x
  2. Step 2: Convert to fraction form
    65,650/158,278 = 158,278/x
  3. Step 3: Cross multiply
    65,650x = 158,278 × 158,278
  4. Step 4: Simplify right side
    65,650x = 25,051,925,284
  5. Step 5: Solve for x
    x = 25,051,925,284/65,650
  6. Step 6: Final answer
    x = 381,598.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.