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Finding the Third Proportional to 214,376 and 326,556

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Solution

The third proportional to 214,376 and 326,556 is: 497,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,376 : 326,556 = 326,556 : x
  2. Step 2: Convert to fraction form
    214,376/326,556 = 326,556/x
  3. Step 3: Cross multiply
    214,376x = 326,556 × 326,556
  4. Step 4: Simplify right side
    214,376x = 106,638,821,136
  5. Step 5: Solve for x
    x = 106,638,821,136/214,376
  6. Step 6: Final answer
    x = 497,438.24

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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.