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Finding the Third Proportional to 161,811.30 and 242,716.97

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Solution

The third proportional to 161,811.30 and 242,716.97 is: 364,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,811.30 : 242,716.97 = 242,716.97 : x
  2. Step 2: Convert to fraction form
    161,811.30/242,716.97 = 242,716.97/x
  3. Step 3: Cross multiply
    161,811.30x = 242,716.97 × 242,716.97
  4. Step 4: Simplify right side
    161,811.30x = 58,911,526,919.19
  5. Step 5: Solve for x
    x = 58,911,526,919.19/161,811.30
  6. Step 6: Final answer
    x = 364,075.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.