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Finding the Third Proportional to 152,208 and 325,539

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Solution

The third proportional to 152,208 and 325,539 is: 696,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,208 : 325,539 = 325,539 : x
  2. Step 2: Convert to fraction form
    152,208/325,539 = 325,539/x
  3. Step 3: Cross multiply
    152,208x = 325,539 × 325,539
  4. Step 4: Simplify right side
    152,208x = 105,975,640,521
  5. Step 5: Solve for x
    x = 105,975,640,521/152,208
  6. Step 6: Final answer
    x = 696,255.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.