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Finding the Third Proportional to 338,114.25 and 506,118.38

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Solution

The third proportional to 338,114.25 and 506,118.38 is: 757,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,114.25 : 506,118.38 = 506,118.38 : x
  2. Step 2: Convert to fraction form
    338,114.25/506,118.38 = 506,118.38/x
  3. Step 3: Cross multiply
    338,114.25x = 506,118.38 × 506,118.38
  4. Step 4: Simplify right side
    338,114.25x = 256,155,809,512.64
  5. Step 5: Solve for x
    x = 256,155,809,512.64/338,114.25
  6. Step 6: Final answer
    x = 757,601.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.