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Finding the Third Proportional to 161,057 and 236,849.50

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Solution

The third proportional to 161,057 and 236,849.50 is: 348,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,057 : 236,849.50 = 236,849.50 : x
  2. Step 2: Convert to fraction form
    161,057/236,849.50 = 236,849.50/x
  3. Step 3: Cross multiply
    161,057x = 236,849.50 × 236,849.50
  4. Step 4: Simplify right side
    161,057x = 56,097,685,650.25
  5. Step 5: Solve for x
    x = 56,097,685,650.25/161,057
  6. Step 6: Final answer
    x = 348,309.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.