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Finding the Third Proportional to 144,365.25 and 297,884.25

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Solution

The third proportional to 144,365.25 and 297,884.25 is: 614,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,365.25 : 297,884.25 = 297,884.25 : x
  2. Step 2: Convert to fraction form
    144,365.25/297,884.25 = 297,884.25/x
  3. Step 3: Cross multiply
    144,365.25x = 297,884.25 × 297,884.25
  4. Step 4: Simplify right side
    144,365.25x = 88,735,026,398.06
  5. Step 5: Solve for x
    x = 88,735,026,398.06/144,365.25
  6. Step 6: Final answer
    x = 614,656.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.