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Finding the Third Proportional to 144,614 and 313,829

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Solution

The third proportional to 144,614 and 313,829 is: 681,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,614 : 313,829 = 313,829 : x
  2. Step 2: Convert to fraction form
    144,614/313,829 = 313,829/x
  3. Step 3: Cross multiply
    144,614x = 313,829 × 313,829
  4. Step 4: Simplify right side
    144,614x = 98,488,641,241
  5. Step 5: Solve for x
    x = 98,488,641,241/144,614
  6. Step 6: Final answer
    x = 681,045.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.