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Finding the Third Proportional to 258,157.13 and 430,246.69

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Solution

The third proportional to 258,157.13 and 430,246.69 is: 717,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,157.13 : 430,246.69 = 430,246.69 : x
  2. Step 2: Convert to fraction form
    258,157.13/430,246.69 = 430,246.69/x
  3. Step 3: Cross multiply
    258,157.13x = 430,246.69 × 430,246.69
  4. Step 4: Simplify right side
    258,157.13x = 185,112,212,104.72
  5. Step 5: Solve for x
    x = 185,112,212,104.72/258,157.13
  6. Step 6: Final answer
    x = 717,052.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.