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Finding the Third Proportional to 161,442 and 351,949.50

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Solution

The third proportional to 161,442 and 351,949.50 is: 767,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,442 : 351,949.50 = 351,949.50 : x
  2. Step 2: Convert to fraction form
    161,442/351,949.50 = 351,949.50/x
  3. Step 3: Cross multiply
    161,442x = 351,949.50 × 351,949.50
  4. Step 4: Simplify right side
    161,442x = 123,868,450,550.25
  5. Step 5: Solve for x
    x = 123,868,450,550.25/161,442
  6. Step 6: Final answer
    x = 767,262.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.