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Finding the Third Proportional to 143,829 and 312,754.50

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Solution

The third proportional to 143,829 and 312,754.50 is: 680,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,829 : 312,754.50 = 312,754.50 : x
  2. Step 2: Convert to fraction form
    143,829/312,754.50 = 312,754.50/x
  3. Step 3: Cross multiply
    143,829x = 312,754.50 × 312,754.50
  4. Step 4: Simplify right side
    143,829x = 97,815,377,270.25
  5. Step 5: Solve for x
    x = 97,815,377,270.25/143,829
  6. Step 6: Final answer
    x = 680,081.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.