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Finding the Third Proportional to 161,146.13 and 349,974

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Solution

The third proportional to 161,146.13 and 349,974 is: 760,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,146.13 : 349,974 = 349,974 : x
  2. Step 2: Convert to fraction form
    161,146.13/349,974 = 349,974/x
  3. Step 3: Cross multiply
    161,146.13x = 349,974 × 349,974
  4. Step 4: Simplify right side
    161,146.13x = 122,481,800,676
  5. Step 5: Solve for x
    x = 122,481,800,676/161,146.13
  6. Step 6: Final answer
    x = 760,066.68

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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.