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Finding the Third Proportional to 143,520.50 and 314,311

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Solution

The third proportional to 143,520.50 and 314,311 is: 688,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,520.50 : 314,311 = 314,311 : x
  2. Step 2: Convert to fraction form
    143,520.50/314,311 = 314,311/x
  3. Step 3: Cross multiply
    143,520.50x = 314,311 × 314,311
  4. Step 4: Simplify right side
    143,520.50x = 98,791,404,721
  5. Step 5: Solve for x
    x = 98,791,404,721/143,520.50
  6. Step 6: Final answer
    x = 688,343.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.