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Finding the Third Proportional to 144,433.13 and 307,577.25

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Solution

The third proportional to 144,433.13 and 307,577.25 is: 655,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,433.13 : 307,577.25 = 307,577.25 : x
  2. Step 2: Convert to fraction form
    144,433.13/307,577.25 = 307,577.25/x
  3. Step 3: Cross multiply
    144,433.13x = 307,577.25 × 307,577.25
  4. Step 4: Simplify right side
    144,433.13x = 94,603,764,717.56
  5. Step 5: Solve for x
    x = 94,603,764,717.56/144,433.13
  6. Step 6: Final answer
    x = 655,000.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.