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Finding the Third Proportional to 169,080 and 357,019.50

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Solution

The third proportional to 169,080 and 357,019.50 is: 753,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,080 : 357,019.50 = 357,019.50 : x
  2. Step 2: Convert to fraction form
    169,080/357,019.50 = 357,019.50/x
  3. Step 3: Cross multiply
    169,080x = 357,019.50 × 357,019.50
  4. Step 4: Simplify right side
    169,080x = 127,462,923,380.25
  5. Step 5: Solve for x
    x = 127,462,923,380.25/169,080
  6. Step 6: Final answer
    x = 753,861.62

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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.