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Finding the Third Proportional to 224,069.25 and 336,347.25

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Solution

The third proportional to 224,069.25 and 336,347.25 is: 504,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,069.25 : 336,347.25 = 336,347.25 : x
  2. Step 2: Convert to fraction form
    224,069.25/336,347.25 = 336,347.25/x
  3. Step 3: Cross multiply
    224,069.25x = 336,347.25 × 336,347.25
  4. Step 4: Simplify right side
    224,069.25x = 113,129,472,582.56
  5. Step 5: Solve for x
    x = 113,129,472,582.56/224,069.25
  6. Step 6: Final answer
    x = 504,886.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.