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Finding the Third Proportional to 214,641 and 339,798

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Solution

The third proportional to 214,641 and 339,798 is: 537,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,641 : 339,798 = 339,798 : x
  2. Step 2: Convert to fraction form
    214,641/339,798 = 339,798/x
  3. Step 3: Cross multiply
    214,641x = 339,798 × 339,798
  4. Step 4: Simplify right side
    214,641x = 115,462,680,804
  5. Step 5: Solve for x
    x = 115,462,680,804/214,641
  6. Step 6: Final answer
    x = 537,933.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.