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Finding the Third Proportional to 161,757.75 and 351,460.13

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Solution

The third proportional to 161,757.75 and 351,460.13 is: 763,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,757.75 : 351,460.13 = 351,460.13 : x
  2. Step 2: Convert to fraction form
    161,757.75/351,460.13 = 351,460.13/x
  3. Step 3: Cross multiply
    161,757.75x = 351,460.13 × 351,460.13
  4. Step 4: Simplify right side
    161,757.75x = 123,524,219,465.02
  5. Step 5: Solve for x
    x = 123,524,219,465.02/161,757.75
  6. Step 6: Final answer
    x = 763,637.10

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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.