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Finding the Third Proportional to 161,910 and 343,549.50

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Solution

The third proportional to 161,910 and 343,549.50 is: 728,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,910 : 343,549.50 = 343,549.50 : x
  2. Step 2: Convert to fraction form
    161,910/343,549.50 = 343,549.50/x
  3. Step 3: Cross multiply
    161,910x = 343,549.50 × 343,549.50
  4. Step 4: Simplify right side
    161,910x = 118,026,258,950.25
  5. Step 5: Solve for x
    x = 118,026,258,950.25/161,910
  6. Step 6: Final answer
    x = 728,962.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.