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Finding the Third Proportional to 169,743.09 and 353,295.84

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Solution

The third proportional to 169,743.09 and 353,295.84 is: 735,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,743.09 : 353,295.84 = 353,295.84 : x
  2. Step 2: Convert to fraction form
    169,743.09/353,295.84 = 353,295.84/x
  3. Step 3: Cross multiply
    169,743.09x = 353,295.84 × 353,295.84
  4. Step 4: Simplify right side
    169,743.09x = 124,817,953,211.02
  5. Step 5: Solve for x
    x = 124,817,953,211.02/169,743.09
  6. Step 6: Final answer
    x = 735,334.50

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.