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Finding the Third Proportional to 216,592 and 339,846

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Solution

The third proportional to 216,592 and 339,846 is: 533,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,592 : 339,846 = 339,846 : x
  2. Step 2: Convert to fraction form
    216,592/339,846 = 339,846/x
  3. Step 3: Cross multiply
    216,592x = 339,846 × 339,846
  4. Step 4: Simplify right side
    216,592x = 115,495,303,716
  5. Step 5: Solve for x
    x = 115,495,303,716/216,592
  6. Step 6: Final answer
    x = 533,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.