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Finding the Third Proportional to 161,109 and 264,991.50

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Solution

The third proportional to 161,109 and 264,991.50 is: 435,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,109 : 264,991.50 = 264,991.50 : x
  2. Step 2: Convert to fraction form
    161,109/264,991.50 = 264,991.50/x
  3. Step 3: Cross multiply
    161,109x = 264,991.50 × 264,991.50
  4. Step 4: Simplify right side
    161,109x = 70,220,495,072.25
  5. Step 5: Solve for x
    x = 70,220,495,072.25/161,109
  6. Step 6: Final answer
    x = 435,857.06

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.