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Finding the Third Proportional to 155,964.23 and 319,319.09

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Solution

The third proportional to 155,964.23 and 319,319.09 is: 653,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,964.23 : 319,319.09 = 319,319.09 : x
  2. Step 2: Convert to fraction form
    155,964.23/319,319.09 = 319,319.09/x
  3. Step 3: Cross multiply
    155,964.23x = 319,319.09 × 319,319.09
  4. Step 4: Simplify right side
    155,964.23x = 101,964,678,643.96
  5. Step 5: Solve for x
    x = 101,964,678,643.96/155,964.23
  6. Step 6: Final answer
    x = 653,769.62

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.