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Finding the Third Proportional to 161,638.13 and 351,255

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Solution

The third proportional to 161,638.13 and 351,255 is: 763,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,638.13 : 351,255 = 351,255 : x
  2. Step 2: Convert to fraction form
    161,638.13/351,255 = 351,255/x
  3. Step 3: Cross multiply
    161,638.13x = 351,255 × 351,255
  4. Step 4: Simplify right side
    161,638.13x = 123,380,075,025
  5. Step 5: Solve for x
    x = 123,380,075,025/161,638.13
  6. Step 6: Final answer
    x = 763,310.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.