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Finding the Third Proportional to 144,469.50 and 224,574

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Solution

The third proportional to 144,469.50 and 224,574 is: 349,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,469.50 : 224,574 = 224,574 : x
  2. Step 2: Convert to fraction form
    144,469.50/224,574 = 224,574/x
  3. Step 3: Cross multiply
    144,469.50x = 224,574 × 224,574
  4. Step 4: Simplify right side
    144,469.50x = 50,433,481,476
  5. Step 5: Solve for x
    x = 50,433,481,476/144,469.50
  6. Step 6: Final answer
    x = 349,094.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.