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Finding the Third Proportional to 141,016.50 and 307,756

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Solution

The third proportional to 141,016.50 and 307,756 is: 671,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,016.50 : 307,756 = 307,756 : x
  2. Step 2: Convert to fraction form
    141,016.50/307,756 = 307,756/x
  3. Step 3: Cross multiply
    141,016.50x = 307,756 × 307,756
  4. Step 4: Simplify right side
    141,016.50x = 94,713,755,536
  5. Step 5: Solve for x
    x = 94,713,755,536/141,016.50
  6. Step 6: Final answer
    x = 671,650.17

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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.