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Finding the Third Proportional to 152,406.56 and 325,828.83

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Solution

The third proportional to 152,406.56 and 325,828.83 is: 696,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,406.56 : 325,828.83 = 325,828.83 : x
  2. Step 2: Convert to fraction form
    152,406.56/325,828.83 = 325,828.83/x
  3. Step 3: Cross multiply
    152,406.56x = 325,828.83 × 325,828.83
  4. Step 4: Simplify right side
    152,406.56x = 106,164,425,237.31
  5. Step 5: Solve for x
    x = 106,164,425,237.31/152,406.56
  6. Step 6: Final answer
    x = 696,586.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.