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Finding the Third Proportional to 156,943.50 and 335,433

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Solution

The third proportional to 156,943.50 and 335,433 is: 716,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943.50 : 335,433 = 335,433 : x
  2. Step 2: Convert to fraction form
    156,943.50/335,433 = 335,433/x
  3. Step 3: Cross multiply
    156,943.50x = 335,433 × 335,433
  4. Step 4: Simplify right side
    156,943.50x = 112,515,297,489
  5. Step 5: Solve for x
    x = 112,515,297,489/156,943.50
  6. Step 6: Final answer
    x = 716,915.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.