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Finding the Third Proportional to 214,620 and 341,632

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Solution

The third proportional to 214,620 and 341,632 is: 543,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620 : 341,632 = 341,632 : x
  2. Step 2: Convert to fraction form
    214,620/341,632 = 341,632/x
  3. Step 3: Cross multiply
    214,620x = 341,632 × 341,632
  4. Step 4: Simplify right side
    214,620x = 116,712,423,424
  5. Step 5: Solve for x
    x = 116,712,423,424/214,620
  6. Step 6: Final answer
    x = 543,809.63

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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.