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Finding the Third Proportional to 152,709.75 and 322,654.50

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Solution

The third proportional to 152,709.75 and 322,654.50 is: 681,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709.75 : 322,654.50 = 322,654.50 : x
  2. Step 2: Convert to fraction form
    152,709.75/322,654.50 = 322,654.50/x
  3. Step 3: Cross multiply
    152,709.75x = 322,654.50 × 322,654.50
  4. Step 4: Simplify right side
    152,709.75x = 104,105,926,370.25
  5. Step 5: Solve for x
    x = 104,105,926,370.25/152,709.75
  6. Step 6: Final answer
    x = 681,724.16

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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.