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Finding the Third Proportional to 141,078 and 307,388

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Solution

The third proportional to 141,078 and 307,388 is: 669,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,078 : 307,388 = 307,388 : x
  2. Step 2: Convert to fraction form
    141,078/307,388 = 307,388/x
  3. Step 3: Cross multiply
    141,078x = 307,388 × 307,388
  4. Step 4: Simplify right side
    141,078x = 94,487,382,544
  5. Step 5: Solve for x
    x = 94,487,382,544/141,078
  6. Step 6: Final answer
    x = 669,752.78

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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.