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Finding the Third Proportional to 224,358.25 and 333,014.63

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Solution

The third proportional to 224,358.25 and 333,014.63 is: 494,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,358.25 : 333,014.63 = 333,014.63 : x
  2. Step 2: Convert to fraction form
    224,358.25/333,014.63 = 333,014.63/x
  3. Step 3: Cross multiply
    224,358.25x = 333,014.63 × 333,014.63
  4. Step 4: Simplify right side
    224,358.25x = 110,898,740,463.89
  5. Step 5: Solve for x
    x = 110,898,740,463.89/224,358.25
  6. Step 6: Final answer
    x = 494,293.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.