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Finding the Third Proportional to 144,229 and 315,603

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Solution

The third proportional to 144,229 and 315,603 is: 690,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,229 : 315,603 = 315,603 : x
  2. Step 2: Convert to fraction form
    144,229/315,603 = 315,603/x
  3. Step 3: Cross multiply
    144,229x = 315,603 × 315,603
  4. Step 4: Simplify right side
    144,229x = 99,605,253,609
  5. Step 5: Solve for x
    x = 99,605,253,609/144,229
  6. Step 6: Final answer
    x = 690,604.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.