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Finding the Third Proportional to 144,693 and 224,019

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Solution

The third proportional to 144,693 and 224,019 is: 346,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,693 : 224,019 = 224,019 : x
  2. Step 2: Convert to fraction form
    144,693/224,019 = 224,019/x
  3. Step 3: Cross multiply
    144,693x = 224,019 × 224,019
  4. Step 4: Simplify right side
    144,693x = 50,184,512,361
  5. Step 5: Solve for x
    x = 50,184,512,361/144,693
  6. Step 6: Final answer
    x = 346,834.42

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Why These Related Problems?

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