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Finding the Third Proportional to 130,303.50 and 206,494.50

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Solution

The third proportional to 130,303.50 and 206,494.50 is: 327,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,303.50 : 206,494.50 = 206,494.50 : x
  2. Step 2: Convert to fraction form
    130,303.50/206,494.50 = 206,494.50/x
  3. Step 3: Cross multiply
    130,303.50x = 206,494.50 × 206,494.50
  4. Step 4: Simplify right side
    130,303.50x = 42,639,978,530.25
  5. Step 5: Solve for x
    x = 42,639,978,530.25/130,303.50
  6. Step 6: Final answer
    x = 327,235.86

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.