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Finding the Third Proportional to 144,146.25 and 309,605.63

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Solution

The third proportional to 144,146.25 and 309,605.63 is: 664,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,146.25 : 309,605.63 = 309,605.63 : x
  2. Step 2: Convert to fraction form
    144,146.25/309,605.63 = 309,605.63/x
  3. Step 3: Cross multiply
    144,146.25x = 309,605.63 × 309,605.63
  4. Step 4: Simplify right side
    144,146.25x = 95,855,643,031.64
  5. Step 5: Solve for x
    x = 95,855,643,031.64/144,146.25
  6. Step 6: Final answer
    x = 664,988.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.