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Finding the Third Proportional to 141,369.05 and 307,672.17

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Solution

The third proportional to 141,369.05 and 307,672.17 is: 669,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,369.05 : 307,672.17 = 307,672.17 : x
  2. Step 2: Convert to fraction form
    141,369.05/307,672.17 = 307,672.17/x
  3. Step 3: Cross multiply
    141,369.05x = 307,672.17 × 307,672.17
  4. Step 4: Simplify right side
    141,369.05x = 94,662,165,346.28
  5. Step 5: Solve for x
    x = 94,662,165,346.28/141,369.05
  6. Step 6: Final answer
    x = 669,610.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.