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Finding the Third Proportional to 229,044 and 336,726

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Solution

The third proportional to 229,044 and 336,726 is: 495,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,044 : 336,726 = 336,726 : x
  2. Step 2: Convert to fraction form
    229,044/336,726 = 336,726/x
  3. Step 3: Cross multiply
    229,044x = 336,726 × 336,726
  4. Step 4: Simplify right side
    229,044x = 113,384,399,076
  5. Step 5: Solve for x
    x = 113,384,399,076/229,044
  6. Step 6: Final answer
    x = 495,033.26

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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.