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Finding the Third Proportional to 229,079 and 336,754

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Solution

The third proportional to 229,079 and 336,754 is: 495,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,079 : 336,754 = 336,754 : x
  2. Step 2: Convert to fraction form
    229,079/336,754 = 336,754/x
  3. Step 3: Cross multiply
    229,079x = 336,754 × 336,754
  4. Step 4: Simplify right side
    229,079x = 113,403,256,516
  5. Step 5: Solve for x
    x = 113,403,256,516/229,079
  6. Step 6: Final answer
    x = 495,039.95

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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.