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Finding the Third Proportional to 163,026 and 343,777.50

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Solution

The third proportional to 163,026 and 343,777.50 is: 724,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,026 : 343,777.50 = 343,777.50 : x
  2. Step 2: Convert to fraction form
    163,026/343,777.50 = 343,777.50/x
  3. Step 3: Cross multiply
    163,026x = 343,777.50 × 343,777.50
  4. Step 4: Simplify right side
    163,026x = 118,182,969,506.25
  5. Step 5: Solve for x
    x = 118,182,969,506.25/163,026
  6. Step 6: Final answer
    x = 724,933.26

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.