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Finding the Third Proportional to 253,835 and 336,943

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Solution

The third proportional to 253,835 and 336,943 is: 447,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,835 : 336,943 = 336,943 : x
  2. Step 2: Convert to fraction form
    253,835/336,943 = 336,943/x
  3. Step 3: Cross multiply
    253,835x = 336,943 × 336,943
  4. Step 4: Simplify right side
    253,835x = 113,530,585,249
  5. Step 5: Solve for x
    x = 113,530,585,249/253,835
  6. Step 6: Final answer
    x = 447,261.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.