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Finding the Third Proportional to 168,798.38 and 261,284.63

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Solution

The third proportional to 168,798.38 and 261,284.63 is: 404,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,798.38 : 261,284.63 = 261,284.63 : x
  2. Step 2: Convert to fraction form
    168,798.38/261,284.63 = 261,284.63/x
  3. Step 3: Cross multiply
    168,798.38x = 261,284.63 × 261,284.63
  4. Step 4: Simplify right side
    168,798.38x = 68,269,655,261.39
  5. Step 5: Solve for x
    x = 68,269,655,261.39/168,798.38
  6. Step 6: Final answer
    x = 404,444.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.