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Finding the Third Proportional to 135,532 and 297,232

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Solution

The third proportional to 135,532 and 297,232 is: 651,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,532 : 297,232 = 297,232 : x
  2. Step 2: Convert to fraction form
    135,532/297,232 = 297,232/x
  3. Step 3: Cross multiply
    135,532x = 297,232 × 297,232
  4. Step 4: Simplify right side
    135,532x = 88,346,861,824
  5. Step 5: Solve for x
    x = 88,346,861,824/135,532
  6. Step 6: Final answer
    x = 651,852.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.