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Finding the Third Proportional to 224,581.50 and 337,783.50

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Solution

The third proportional to 224,581.50 and 337,783.50 is: 508,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,581.50 : 337,783.50 = 337,783.50 : x
  2. Step 2: Convert to fraction form
    224,581.50/337,783.50 = 337,783.50/x
  3. Step 3: Cross multiply
    224,581.50x = 337,783.50 × 337,783.50
  4. Step 4: Simplify right side
    224,581.50x = 114,097,692,872.25
  5. Step 5: Solve for x
    x = 114,097,692,872.25/224,581.50
  6. Step 6: Final answer
    x = 508,045.82

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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.