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Finding the Third Proportional to 151,552 and 327,232

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Solution

The third proportional to 151,552 and 327,232 is: 706,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,552 : 327,232 = 327,232 : x
  2. Step 2: Convert to fraction form
    151,552/327,232 = 327,232/x
  3. Step 3: Cross multiply
    151,552x = 327,232 × 327,232
  4. Step 4: Simplify right side
    151,552x = 107,080,781,824
  5. Step 5: Solve for x
    x = 107,080,781,824/151,552
  6. Step 6: Final answer
    x = 706,561.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.