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Finding the Third Proportional to 110,406.38 and 238,295.25

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Solution

The third proportional to 110,406.38 and 238,295.25 is: 514,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,406.38 : 238,295.25 = 238,295.25 : x
  2. Step 2: Convert to fraction form
    110,406.38/238,295.25 = 238,295.25/x
  3. Step 3: Cross multiply
    110,406.38x = 238,295.25 × 238,295.25
  4. Step 4: Simplify right side
    110,406.38x = 56,784,626,172.56
  5. Step 5: Solve for x
    x = 56,784,626,172.56/110,406.38
  6. Step 6: Final answer
    x = 514,323.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.