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Finding the Third Proportional to 141,963.75 and 312,733.13

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Solution

The third proportional to 141,963.75 and 312,733.13 is: 688,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,963.75 : 312,733.13 = 312,733.13 : x
  2. Step 2: Convert to fraction form
    141,963.75/312,733.13 = 312,733.13/x
  3. Step 3: Cross multiply
    141,963.75x = 312,733.13 × 312,733.13
  4. Step 4: Simplify right side
    141,963.75x = 97,802,007,472.27
  5. Step 5: Solve for x
    x = 97,802,007,472.27/141,963.75
  6. Step 6: Final answer
    x = 688,922.40

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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.