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Finding the Third Proportional to 158,880 and 232,974

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Solution

The third proportional to 158,880 and 232,974 is: 341,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,880 : 232,974 = 232,974 : x
  2. Step 2: Convert to fraction form
    158,880/232,974 = 232,974/x
  3. Step 3: Cross multiply
    158,880x = 232,974 × 232,974
  4. Step 4: Simplify right side
    158,880x = 54,276,884,676
  5. Step 5: Solve for x
    x = 54,276,884,676/158,880
  6. Step 6: Final answer
    x = 341,621.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.