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Finding the Third Proportional to 261,763 and 415,163.50

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Solution

The third proportional to 261,763 and 415,163.50 is: 658,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,763 : 415,163.50 = 415,163.50 : x
  2. Step 2: Convert to fraction form
    261,763/415,163.50 = 415,163.50/x
  3. Step 3: Cross multiply
    261,763x = 415,163.50 × 415,163.50
  4. Step 4: Simplify right side
    261,763x = 172,360,731,732.25
  5. Step 5: Solve for x
    x = 172,360,731,732.25/261,763
  6. Step 6: Final answer
    x = 658,461.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.