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Finding the Third Proportional to 240,556 and 366,508

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Solution

The third proportional to 240,556 and 366,508 is: 558,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,556 : 366,508 = 366,508 : x
  2. Step 2: Convert to fraction form
    240,556/366,508 = 366,508/x
  3. Step 3: Cross multiply
    240,556x = 366,508 × 366,508
  4. Step 4: Simplify right side
    240,556x = 134,328,114,064
  5. Step 5: Solve for x
    x = 134,328,114,064/240,556
  6. Step 6: Final answer
    x = 558,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.