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Finding the Third Proportional to 151,213.50 and 320,328

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Solution

The third proportional to 151,213.50 and 320,328 is: 678,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,213.50 : 320,328 = 320,328 : x
  2. Step 2: Convert to fraction form
    151,213.50/320,328 = 320,328/x
  3. Step 3: Cross multiply
    151,213.50x = 320,328 × 320,328
  4. Step 4: Simplify right side
    151,213.50x = 102,610,027,584
  5. Step 5: Solve for x
    x = 102,610,027,584/151,213.50
  6. Step 6: Final answer
    x = 678,577.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.