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Finding the Third Proportional to 169,765 and 353,475.75

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Solution

The third proportional to 169,765 and 353,475.75 is: 735,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,765 : 353,475.75 = 353,475.75 : x
  2. Step 2: Convert to fraction form
    169,765/353,475.75 = 353,475.75/x
  3. Step 3: Cross multiply
    169,765x = 353,475.75 × 353,475.75
  4. Step 4: Simplify right side
    169,765x = 124,945,105,838.06
  5. Step 5: Solve for x
    x = 124,945,105,838.06/169,765
  6. Step 6: Final answer
    x = 735,988.61

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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.