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Finding the Third Proportional to 144,587.25 and 313,310.25

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Solution

The third proportional to 144,587.25 and 313,310.25 is: 678,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,587.25 : 313,310.25 = 313,310.25 : x
  2. Step 2: Convert to fraction form
    144,587.25/313,310.25 = 313,310.25/x
  3. Step 3: Cross multiply
    144,587.25x = 313,310.25 × 313,310.25
  4. Step 4: Simplify right side
    144,587.25x = 98,163,312,755.06
  5. Step 5: Solve for x
    x = 98,163,312,755.06/144,587.25
  6. Step 6: Final answer
    x = 678,920.95

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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.