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Finding the Third Proportional to 159,911 and 344,733.50

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Solution

The third proportional to 159,911 and 344,733.50 is: 743,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,911 : 344,733.50 = 344,733.50 : x
  2. Step 2: Convert to fraction form
    159,911/344,733.50 = 344,733.50/x
  3. Step 3: Cross multiply
    159,911x = 344,733.50 × 344,733.50
  4. Step 4: Simplify right side
    159,911x = 118,841,186,022.25
  5. Step 5: Solve for x
    x = 118,841,186,022.25/159,911
  6. Step 6: Final answer
    x = 743,170.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.