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Finding the Third Proportional to 161,736 and 350,962.50

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Solution

The third proportional to 161,736 and 350,962.50 is: 761,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,736 : 350,962.50 = 350,962.50 : x
  2. Step 2: Convert to fraction form
    161,736/350,962.50 = 350,962.50/x
  3. Step 3: Cross multiply
    161,736x = 350,962.50 × 350,962.50
  4. Step 4: Simplify right side
    161,736x = 123,174,676,406.25
  5. Step 5: Solve for x
    x = 123,174,676,406.25/161,736
  6. Step 6: Final answer
    x = 761,578.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.