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Finding the Third Proportional to 153,652 and 334,232

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Solution

The third proportional to 153,652 and 334,232 is: 727,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,652 : 334,232 = 334,232 : x
  2. Step 2: Convert to fraction form
    153,652/334,232 = 334,232/x
  3. Step 3: Cross multiply
    153,652x = 334,232 × 334,232
  4. Step 4: Simplify right side
    153,652x = 111,711,029,824
  5. Step 5: Solve for x
    x = 111,711,029,824/153,652
  6. Step 6: Final answer
    x = 727,039.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.