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Finding the Third Proportional to 180,338 and 392,023

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Solution

The third proportional to 180,338 and 392,023 is: 852,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,338 : 392,023 = 392,023 : x
  2. Step 2: Convert to fraction form
    180,338/392,023 = 392,023/x
  3. Step 3: Cross multiply
    180,338x = 392,023 × 392,023
  4. Step 4: Simplify right side
    180,338x = 153,682,032,529
  5. Step 5: Solve for x
    x = 153,682,032,529/180,338
  6. Step 6: Final answer
    x = 852,188.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.