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Finding the Third Proportional to 214,514 and 315,523

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Solution

The third proportional to 214,514 and 315,523 is: 464,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514 : 315,523 = 315,523 : x
  2. Step 2: Convert to fraction form
    214,514/315,523 = 315,523/x
  3. Step 3: Cross multiply
    214,514x = 315,523 × 315,523
  4. Step 4: Simplify right side
    214,514x = 99,554,763,529
  5. Step 5: Solve for x
    x = 99,554,763,529/214,514
  6. Step 6: Final answer
    x = 464,094.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.