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Finding the Third Proportional to 224,420.63 and 335,846.25

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Solution

The third proportional to 224,420.63 and 335,846.25 is: 502,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,420.63 : 335,846.25 = 335,846.25 : x
  2. Step 2: Convert to fraction form
    224,420.63/335,846.25 = 335,846.25/x
  3. Step 3: Cross multiply
    224,420.63x = 335,846.25 × 335,846.25
  4. Step 4: Simplify right side
    224,420.63x = 112,792,703,639.06
  5. Step 5: Solve for x
    x = 112,792,703,639.06/224,420.63
  6. Step 6: Final answer
    x = 502,595.09

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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.