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Finding the Third Proportional to 214,599 and 339,732

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Solution

The third proportional to 214,599 and 339,732 is: 537,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,599 : 339,732 = 339,732 : x
  2. Step 2: Convert to fraction form
    214,599/339,732 = 339,732/x
  3. Step 3: Cross multiply
    214,599x = 339,732 × 339,732
  4. Step 4: Simplify right side
    214,599x = 115,417,831,824
  5. Step 5: Solve for x
    x = 115,417,831,824/214,599
  6. Step 6: Final answer
    x = 537,830.24

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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.