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Finding the Third Proportional to 129,432 and 205,824

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Solution

The third proportional to 129,432 and 205,824 is: 327,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432 : 205,824 = 205,824 : x
  2. Step 2: Convert to fraction form
    129,432/205,824 = 205,824/x
  3. Step 3: Cross multiply
    129,432x = 205,824 × 205,824
  4. Step 4: Simplify right side
    129,432x = 42,363,518,976
  5. Step 5: Solve for x
    x = 42,363,518,976/129,432
  6. Step 6: Final answer
    x = 327,303.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.