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Finding the Third Proportional to 141,965.25 and 312,736

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Solution

The third proportional to 141,965.25 and 312,736 is: 688,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,965.25 : 312,736 = 312,736 : x
  2. Step 2: Convert to fraction form
    141,965.25/312,736 = 312,736/x
  3. Step 3: Cross multiply
    141,965.25x = 312,736 × 312,736
  4. Step 4: Simplify right side
    141,965.25x = 97,803,805,696
  5. Step 5: Solve for x
    x = 97,803,805,696/141,965.25
  6. Step 6: Final answer
    x = 688,927.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.