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Finding the Third Proportional to 141,966.50 and 312,738

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Solution

The third proportional to 141,966.50 and 312,738 is: 688,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,966.50 : 312,738 = 312,738 : x
  2. Step 2: Convert to fraction form
    141,966.50/312,738 = 312,738/x
  3. Step 3: Cross multiply
    141,966.50x = 312,738 × 312,738
  4. Step 4: Simplify right side
    141,966.50x = 97,805,056,644
  5. Step 5: Solve for x
    x = 97,805,056,644/141,966.50
  6. Step 6: Final answer
    x = 688,930.53

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