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Finding the Third Proportional to 161,882 and 242,821.75

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Solution

The third proportional to 161,882 and 242,821.75 is: 364,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,882 : 242,821.75 = 242,821.75 : x
  2. Step 2: Convert to fraction form
    161,882/242,821.75 = 242,821.75/x
  3. Step 3: Cross multiply
    161,882x = 242,821.75 × 242,821.75
  4. Step 4: Simplify right side
    161,882x = 58,962,402,273.06
  5. Step 5: Solve for x
    x = 58,962,402,273.06/161,882
  6. Step 6: Final answer
    x = 364,230.75

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