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Finding the Third Proportional to 253,716 and 341,754

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Solution

The third proportional to 253,716 and 341,754 is: 460,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,716 : 341,754 = 341,754 : x
  2. Step 2: Convert to fraction form
    253,716/341,754 = 341,754/x
  3. Step 3: Cross multiply
    253,716x = 341,754 × 341,754
  4. Step 4: Simplify right side
    253,716x = 116,795,796,516
  5. Step 5: Solve for x
    x = 116,795,796,516/253,716
  6. Step 6: Final answer
    x = 460,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.